﻿54:@0.057273:0.966074:0.076087:0.966074:0.076087:0.949450:0.057273:0.949450:0.000000:0.000000
Evaluación formativa:@0.303782:0.074925:0.552575:0.074925:0.552575:0.050342:0.303782:0.050342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.136183:0.077858:0.213378:0.077858:0.213378:0.047130:0.136183:0.047130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.2.2 / I.M.4.2.3.:@0.113309:0.103262:0.210323:0.103262:0.210323:0.092507:0.113309:0.092507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.096359:0.126056:0.115100:0.126056:0.115100:0.108920:0.096359:0.108920:0.000000:0.000000:0.000000
Aplica:@0.124848:0.126056:0.174345:0.126056:0.174345:0.109155:0.124848:0.109155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las propiedades y :@0.174345:0.126056:0.310136:0.126056:0.310136:0.110386:0.174345:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve:@0.310136:0.126056:0.377084:0.126056:0.377084:0.109155:0.310136:0.109155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.377084:0.126056:0.380290:0.126056:0.380290:0.110386:0.377084:0.110386:0.000000
a) :@0.124848:0.177186:0.144087:0.177186:0.144087:0.160051:0.124848:0.160051:0.000000:0.000000:0.000000
2:@0.166114:0.169034:0.175107:0.169034:0.175107:0.153364:0.166114:0.153364:0.000000
5:@0.166317:0.188369:0.175310:0.188369:0.175310:0.172699:0.166317:0.172699:0.000000
3:@0.186217:0.159643:0.191429:0.159643:0.191429:0.150562:0.186217:0.150562:0.000000
2:@0.204802:0.169034:0.213795:0.169034:0.213795:0.153364:0.204802:0.153364:0.000000
5:@0.205005:0.188369:0.213998:0.188369:0.213998:0.172699:0.205005:0.172699:0.000000
4:@0.225324:0.159643:0.230536:0.159643:0.230536:0.150562:0.225324:0.150562:0.000000
2:@0.244537:0.169034:0.253530:0.169034:0.253530:0.153364:0.244537:0.153364:0.000000
5:@0.244740:0.188369:0.253733:0.188369:0.253733:0.172699:0.244740:0.172699:0.000000
5:@0.270607:0.159643:0.275819:0.159643:0.275819:0.150562:0.270607:0.150562:0.000000
=:@0.280240:0.178591:0.290357:0.178591:0.290357:0.163018:0.280240:0.163018:0.000000
b) :@0.124851:0.226016:0.145232:0.226016:0.145232:0.208880:0.124851:0.208880:0.000000:0.000000:0.000000
÷:@0.174913:0.226694:0.185029:0.226694:0.185029:0.211121:0.174913:0.211121:0.000000
=:@0.214643:0.226694:0.224759:0.226694:0.224759:0.211121:0.214643:0.211121:0.000000
−:@0.198627:0.218747:0.204490:0.218747:0.204490:0.209721:0.198627:0.209721:0.000000
e:@0.156328:0.226016:0.164122:0.226016:0.164122:0.209655:0.156328:0.209655:0.000000
e:@0.189737:0.226016:0.197532:0.226016:0.197532:0.209655:0.189737:0.209655:0.000000
7:@0.164809:0.218354:0.170021:0.218354:0.170021:0.209273:0.164809:0.209273:0.000000
7:@0.204388:0.218354:0.209600:0.218354:0.209600:0.209273:0.204388:0.209273:0.000000
c) :@0.124851:0.274842:0.142671:0.274842:0.142671:0.257706:0.124851:0.257706:0.000000:0.000000:0.000000
(:@0.155542:0.277392:0.161678:0.277392:0.161678:0.256991:0.155542:0.256991:0.000000
) (:@0.196691:0.277392:0.222729:0.277392:0.222729:0.256991:0.196691:0.256991:0.000000:0.000000:0.000000
) (:@0.257741:0.277392:0.277375:0.277392:0.277375:0.256991:0.257741:0.256991:0.000000:0.000000:0.000000
):@0.302068:0.277392:0.308205:0.277392:0.308205:0.256991:0.302068:0.256991:0.000000
−:@0.162767:0.275520:0.172884:0.275520:0.172884:0.259947:0.162767:0.259947:0.000000
−:@0.223818:0.275520:0.233935:0.275520:0.233935:0.259947:0.223818:0.259947:0.000000
=:@0.317928:0.275520:0.328045:0.275520:0.328045:0.259947:0.317928:0.259947:0.000000
−:@0.202921:0.265806:0.208784:0.265806:0.208784:0.256781:0.202921:0.256781:0.000000
0,8:@0.172713:0.274842:0.195784:0.274842:0.195784:0.259172:0.172713:0.259172:0.000000:0.000000:0.000000
0,8:@0.233745:0.274842:0.256817:0.274842:0.256817:0.259172:0.233745:0.259172:0.000000:0.000000:0.000000
0,8:@0.278082:0.274842:0.301154:0.274842:0.301154:0.259172:0.278082:0.259172:0.000000:0.000000:0.000000
6:@0.208679:0.265413:0.213890:0.265413:0.213890:0.256332:0.208679:0.256332:0.000000
3:@0.263754:0.265413:0.268965:0.265413:0.268965:0.256332:0.263754:0.256332:0.000000
5:@0.308096:0.265413:0.313307:0.265413:0.313307:0.256332:0.308096:0.256332:0.000000
d) :@0.124851:0.324927:0.145343:0.324927:0.145343:0.307791:0.124851:0.307791:0.000000:0.000000:0.000000
2:@0.169049:0.325990:0.178042:0.325990:0.178042:0.310321:0.169049:0.310321:0.000000
( ):@0.162191:0.328540:0.196909:0.328540:0.196909:0.308139:0.162191:0.308139:0.000000:0.000000:0.000000
2:@0.196795:0.316560:0.202006:0.316560:0.202006:0.307479:0.196795:0.307479:0.000000
2:@0.212291:0.312985:0.217502:0.312985:0.217502:0.303903:0.212291:0.303903:0.000000
=:@0.222133:0.326668:0.232249:0.326668:0.232249:0.311095:0.222133:0.311095:0.000000
e) :@0.124851:0.376269:0.144090:0.376269:0.144090:0.359133:0.124851:0.359133:0.000000:0.000000:0.000000
2:@0.166114:0.369371:0.175107:0.369371:0.175107:0.353701:0.166114:0.353701:0.000000
5 4:@0.166317:0.388706:0.202390:0.388706:0.202390:0.373036:0.166317:0.373036:0.000000:0.000000:0.000000
3:@0.193600:0.369371:0.202593:0.369371:0.202593:0.353701:0.193600:0.353701:0.000000
5:@0.221241:0.369371:0.230234:0.369371:0.230234:0.353701:0.221241:0.353701:0.000000
6:@0.221039:0.388706:0.230031:0.388706:0.230031:0.373036:0.221039:0.373036:0.000000
2:@0.241500:0.359980:0.246712:0.359980:0.246712:0.350899:0.241500:0.350899:0.000000
=:@0.251342:0.378928:0.261459:0.378928:0.261459:0.363355:0.251342:0.363355:0.000000
f) :@0.124851:0.427609:0.141971:0.427609:0.141971:0.410474:0.124851:0.410474:0.000000:0.000000:0.000000
6:@0.166481:0.419454:0.175474:0.419454:0.175474:0.403785:0.166481:0.403785:0.000000
7:@0.166113:0.438789:0.175105:0.438789:0.175105:0.423120:0.166113:0.423120:0.000000
÷:@0.179726:0.429012:0.189842:0.429012:0.189842:0.413440:0.179726:0.413440:0.000000
4:@0.194486:0.419456:0.203479:0.419456:0.203479:0.403786:0.194486:0.403786:0.000000
5:@0.194689:0.438791:0.203682:0.438791:0.203682:0.423121:0.194689:0.423121:0.000000
3:@0.215324:0.410065:0.220536:0.410065:0.220536:0.400983:0.215324:0.400983:0.000000
=:@0.224957:0.429012:0.235074:0.429012:0.235074:0.413440:0.224957:0.413440:0.000000
g) :@0.124851:0.478951:0.145140:0.478951:0.145140:0.461815:0.124851:0.461815:0.000000:0.000000:0.000000
(:@0.155542:0.485862:0.161678:0.485862:0.161678:0.456585:0.155542:0.456585:0.000000
):@0.208466:0.485862:0.214602:0.485862:0.214602:0.456585:0.208466:0.456585:0.000000
−:@0.162767:0.479629:0.172884:0.479629:0.172884:0.464056:0.162767:0.464056:0.000000
=:@0.228941:0.479629:0.239058:0.479629:0.239058:0.464056:0.228941:0.464056:0.000000
−:@0.214700:0.466456:0.220563:0.466456:0.220563:0.457431:0.214700:0.457431:0.000000
0, 24:@0.172713:0.478951:0.207191:0.478951:0.207191:0.463281:0.172713:0.463281:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.220457:0.466064:0.225669:0.466064:0.225669:0.456982:0.220457:0.456982:0.000000
:@0.190931:0.475265:0.206109:0.475265:0.206109:0.458516:0.190931:0.458516:0.000000
h) :@0.124851:0.527778:0.145159:0.527778:0.145159:0.510643:0.124851:0.510643:0.000000:0.000000:0.000000
( ):@0.155542:0.535380:0.192047:0.535380:0.192047:0.507193:0.155542:0.507193:0.000000:0.000000:0.000000
=:@0.207947:0.529713:0.218063:0.529713:0.218063:0.514141:0.207947:0.514141:0.000000
−:@0.192136:0.516855:0.197999:0.516855:0.197999:0.507830:0.192136:0.507830:0.000000
2:@0.174913:0.529036:0.183905:0.529036:0.183905:0.513366:0.174913:0.513366:0.000000
2:@0.197895:0.516462:0.203107:0.516462:0.203107:0.507381:0.197895:0.507381:0.000000
i) :@0.124851:0.577862:0.139409:0.577862:0.139409:0.560726:0.124851:0.560726:0.000000:0.000000:0.000000
1:@0.172815:0.568606:0.181808:0.568606:0.181808:0.552936:0.172815:0.552936:0.000000
5:@0.177791:0.588563:0.186783:0.588563:0.186783:0.572893:0.177791:0.572893:0.000000
5:@0.167476:0.581846:0.172688:0.581846:0.172688:0.572765:0.167476:0.572765:0.000000
10:@0.204908:0.558822:0.215192:0.558822:0.215192:0.549741:0.204908:0.549741:0.000000:0.000000
=:@0.220037:0.578162:0.230154:0.578162:0.230154:0.562589:0.220037:0.562589:0.000000
 :@0.235431:0.594207:0.239153:0.594207:0.239153:0.577071:0.235431:0.577071:0.000000
j) :@0.124846:0.629197:0.139718:0.629197:0.139718:0.612062:0.124846:0.612062:0.000000:0.000000:0.000000
3:@0.181562:0.628827:0.190554:0.628827:0.190554:0.613157:0.181562:0.613157:0.000000
3:@0.171247:0.622109:0.176459:0.622109:0.176459:0.613027:0.171247:0.613027:0.000000
( ):@0.162191:0.635172:0.198272:0.635172:0.198272:0.606985:0.162191:0.606985:0.000000:0.000000:0.000000
2:@0.204124:0.616253:0.209335:0.616253:0.209335:0.607172:0.204124:0.607172:0.000000
6:@0.219829:0.612679:0.225041:0.612679:0.225041:0.603597:0.219829:0.603597:0.000000
=:@0.229881:0.629504:0.239997:0.629504:0.239997:0.613931:0.229881:0.613931:0.000000
k) :@0.124851:0.683060:0.144348:0.683060:0.144348:0.665924:0.124851:0.665924:0.000000:0.000000:0.000000
1:@0.178746:0.675382:0.187738:0.675382:0.187738:0.659712:0.178746:0.659712:0.000000
3:@0.178174:0.694717:0.187167:0.694717:0.187167:0.679047:0.178174:0.679047:0.000000
10:@0.198848:0.665992:0.209133:0.665992:0.209133:0.656911:0.198848:0.656911:0.000000:0.000000
0,3:@0.228688:0.684262:0.251557:0.684262:0.251557:0.668592:0.228688:0.668592:0.000000:0.000000:0.000000
(:@0.209841:0.690525:0.215978:0.690525:0.215978:0.662650:0.209841:0.662650:0.000000
) (:@0.251672:0.690525:0.280789:0.690525:0.280789:0.662650:0.251672:0.662650:0.000000:0.000000:0.000000
10:@0.263658:0.671964:0.273943:0.671964:0.273943:0.662883:0.263658:0.662883:0.000000:0.000000
0,3:@0.293499:0.684262:0.316368:0.684262:0.316368:0.668592:0.293499:0.668592:0.000000:0.000000:0.000000
):@0.316484:0.690525:0.322620:0.690525:0.322620:0.662650:0.316484:0.662650:0.000000
3:@0.328470:0.671964:0.333682:0.671964:0.333682:0.662883:0.328470:0.662883:0.000000
=:@0.338103:0.684940:0.348220:0.684940:0.348220:0.669367:0.338103:0.669367:0.000000
l) :@0.124851:0.734401:0.139428:0.734401:0.139428:0.717265:0.124851:0.717265:0.000000:0.000000:0.000000
( ) ( ):@0.155542:0.740747:0.252655:0.740747:0.252655:0.712559:0.155542:0.712559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.268987:0.735079:0.279104:0.735079:0.279104:0.719506:0.268987:0.719506:0.000000
−:@0.252759:0.722221:0.258623:0.722221:0.258623:0.713196:0.252759:0.713196:0.000000
25:@0.162400:0.734401:0.192695:0.734401:0.192695:0.718731:0.162400:0.718731:0.000000:0.000000
25:@0.214643:0.734401:0.244938:0.734401:0.244938:0.718731:0.214643:0.718731:0.000000:0.000000
3:@0.200303:0.721829:0.205514:0.721829:0.205514:0.712747:0.200303:0.712747:0.000000
4:@0.258517:0.721829:0.263729:0.721829:0.263729:0.712747:0.258517:0.712747:0.000000
m) :@0.124851:0.783228:0.150208:0.783228:0.150208:0.766092:0.124851:0.766092:0.000000:0.000000:0.000000
3:@0.169569:0.775595:0.178561:0.775595:0.178561:0.759925:0.169569:0.759925:0.000000
4:@0.169366:0.794930:0.178359:0.794930:0.178359:0.779260:0.169366:0.779260:0.000000
5:@0.190194:0.766205:0.195406:0.766205:0.195406:0.757124:0.190194:0.757124:0.000000
3:@0.225061:0.775595:0.234054:0.775595:0.234054:0.759925:0.225061:0.759925:0.000000
4:@0.224858:0.794930:0.233851:0.794930:0.233851:0.779260:0.224858:0.779260:0.000000
3:@0.245686:0.766205:0.250898:0.766205:0.250898:0.757124:0.245686:0.757124:0.000000
=:@0.255319:0.785153:0.265436:0.785153:0.265436:0.769580:0.255319:0.769580:0.000000
n) :@0.124851:0.837085:0.145159:0.837085:0.145159:0.819949:0.124851:0.819949:0.000000:0.000000:0.000000
3:@0.167304:0.830015:0.176421:0.830015:0.176421:0.813398:0.167304:0.813398:0.000000
7:@0.166725:0.849618:0.175842:0.849618:0.175842:0.833002:0.166725:0.833002:0.000000
⎛ ⎞:@0.155997:0.831814:0.185032:0.831828:0.185032:0.813556:0.155997:0.813543:0.000000:0.000000:0.000000
⎝ ⎠:@0.155997:0.848627:0.185032:0.848641:0.185032:0.830369:0.155997:0.830355:0.000000:0.000000:0.000000
⎜ ⎟:@0.155997:0.842737:0.185032:0.842751:0.185032:0.824480:0.155997:0.824466:0.000000:0.000000:0.000000
2:@0.187474:0.820494:0.192758:0.820494:0.192758:0.810864:0.187474:0.810864:0.000000
×:@0.196709:0.839622:0.206966:0.839622:0.206966:0.821350:0.196709:0.821350:0.000000
 :@0.210199:0.839019:0.214290:0.839019:0.214290:0.822402:0.210199:0.822402:0.000000
3:@0.227070:0.830016:0.236188:0.830016:0.236188:0.813400:0.227070:0.813400:0.000000
7:@0.226491:0.849620:0.235608:0.849620:0.235608:0.833003:0.226491:0.833003:0.000000
⎛ ⎞:@0.215763:0.831814:0.244798:0.831828:0.244798:0.813556:0.215763:0.813543:0.000000:0.000000:0.000000
⎝ ⎠:@0.215763:0.848627:0.244798:0.848641:0.244798:0.830369:0.215763:0.830355:0.000000:0.000000:0.000000
⎜ ⎟:@0.215763:0.842737:0.244798:0.842751:0.244798:0.824480:0.215763:0.824466:0.000000:0.000000:0.000000
4:@0.247663:0.820494:0.252947:0.820494:0.252947:0.810864:0.247663:0.810864:0.000000
=:@0.258068:0.839622:0.268325:0.839622:0.268325:0.821350:0.258068:0.821350:0.000000
o)   :@0.124851:0.883396:0.157063:0.883396:0.157063:0.866260:0.124851:0.866260:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ) ( ):@0.159045:0.884842:0.266194:0.884842:0.266194:0.866481:0.159045:0.866481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.196078:0.883157:0.200224:0.883157:0.200224:0.869142:0.196078:0.869142:0.000000
⋅:@0.231752:0.883157:0.235898:0.883157:0.235898:0.869142:0.231752:0.869142:0.000000
0,1:@0.165213:0.882547:0.184949:0.882547:0.184949:0.868445:0.165213:0.868445:0.000000:0.000000:0.000000
0,1 0,1:@0.207239:0.882547:0.262649:0.882547:0.262649:0.868445:0.207239:0.868445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.188398:0.874061:0.193089:0.874061:0.193089:0.865888:0.188398:0.865888:0.000000
–4:@0.266282:0.874061:0.275777:0.874061:0.275777:0.865888:0.266282:0.865888:0.000000:0.000000
p) :@0.124851:0.926986:0.145232:0.926986:0.145232:0.909850:0.124851:0.909850:0.000000:0.000000:0.000000
⎛ ⎞:@0.155699:0.920597:0.181522:0.920597:0.181522:0.904378:0.155699:0.904378:0.000000:0.000000:0.000000
⎝ ⎠:@0.155699:0.935658:0.181522:0.935658:0.181522:0.919439:0.155699:0.919439:0.000000:0.000000:0.000000
⎜ ⎟:@0.155699:0.930430:0.181522:0.930430:0.181522:0.914211:0.155699:0.914211:0.000000:0.000000:0.000000
÷:@0.192402:0.927605:0.201507:0.927605:0.201507:0.911386:0.192402:0.911386:0.000000
⎛ ⎞:@0.203994:0.920609:0.229817:0.920609:0.229817:0.904391:0.203994:0.904391:0.000000:0.000000:0.000000
⎝ ⎠:@0.203994:0.935671:0.229817:0.935671:0.229817:0.919452:0.203994:0.919452:0.000000:0.000000:0.000000
⎜ ⎟:@0.203994:0.930443:0.229817:0.930443:0.229817:0.914224:0.203994:0.914224:0.000000:0.000000:0.000000
2:@0.165584:0.919016:0.173677:0.919016:0.173677:0.904913:0.165584:0.904913:0.000000
3:@0.165766:0.936517:0.173860:0.936517:0.173860:0.922414:0.165766:0.922414:0.000000
2:@0.213879:0.919016:0.221972:0.919016:0.221972:0.904913:0.213879:0.904913:0.000000
3:@0.214061:0.936517:0.222155:0.936517:0.222155:0.922414:0.214061:0.922414:0.000000
3:@0.183686:0.910549:0.188376:0.910549:0.188376:0.902376:0.183686:0.902376:0.000000
2:@0.231980:0.910549:0.236670:0.910549:0.236670:0.902376:0.231980:0.902376:0.000000
q) :@0.542738:0.141400:0.563211:0.141400:0.563211:0.124264:0.542738:0.124264:0.000000:0.000000:0.000000
⎛ ⎞:@0.589982:0.138108:0.615804:0.138108:0.615804:0.121889:0.589982:0.121889:0.000000:0.000000:0.000000
⎝ ⎠:@0.589982:0.153169:0.615804:0.153169:0.615804:0.136950:0.589982:0.136950:0.000000:0.000000:0.000000
⎜ ⎟ ⎥ ⎬:@0.589982:0.147941:0.647467:0.147057:0.647467:0.130838:0.589982:0.131722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎡ ⎪:@0.583149:0.135170:0.582436:0.137635:0.582436:0.121416:0.583149:0.118951:0.000000:0.000000:0.000000
⎣ ⎢ ⎪:@0.583149:0.158969:0.582437:0.159180:0.582437:0.142961:0.583149:0.142751:0.000000:0.000000:0.000000:0.000000:0.000000
⎢ ⎨:@0.583149:0.147020:0.582436:0.147070:0.582436:0.130851:0.583149:0.130801:0.000000:0.000000:0.000000
⎤ ⎪:@0.625225:0.135183:0.647467:0.137622:0.647467:0.121403:0.625225:0.118964:0.000000:0.000000:0.000000
⎦ ⎥ ⎪:@0.625225:0.158982:0.647459:0.159180:0.647459:0.142961:0.625225:0.142763:0.000000:0.000000:0.000000:0.000000:0.000000
⎧:@0.574243:0.131685:0.582436:0.131685:0.582436:0.115466:0.574243:0.115466:0.000000
⎩:@0.574245:0.162434:0.582437:0.162434:0.582437:0.146215:0.574245:0.146215:0.000000
⎫:@0.639274:0.131672:0.647467:0.131672:0.647467:0.115453:0.639274:0.115453:0.000000
⎭:@0.639266:0.162434:0.647459:0.162434:0.647459:0.146215:0.639266:0.146215:0.000000
1:@0.600590:0.136514:0.608683:0.136514:0.608683:0.122411:0.600590:0.122411:0.000000
2:@0.599877:0.154015:0.607970:0.154015:0.607970:0.139912:0.599877:0.139912:0.000000
2:@0.617970:0.128060:0.622660:0.128060:0.622660:0.119887:0.617970:0.119887:0.000000
2:@0.632013:0.124843:0.636703:0.124843:0.636703:0.116670:0.632013:0.116670:0.000000
2:@0.647468:0.121626:0.652159:0.121626:0.652159:0.113452:0.647468:0.113452:0.000000
r) :@0.542730:0.200082:0.559241:0.200082:0.559241:0.182946:0.542730:0.182946:0.000000:0.000000:0.000000
⎛ ⎞:@0.573586:0.193686:0.600736:0.193686:0.600736:0.177467:0.573586:0.177467:0.000000:0.000000:0.000000
⎝ ⎠:@0.573586:0.208747:0.600736:0.208747:0.600736:0.192528:0.573586:0.192528:0.000000:0.000000:0.000000
⎜ ⎟:@0.573586:0.203519:0.600736:0.203519:0.600736:0.187300:0.573586:0.187300:0.000000:0.000000:0.000000
5:@0.584333:0.192092:0.592427:0.192092:0.592427:0.177990:0.584333:0.177990:0.000000
4:@0.584151:0.209593:0.592244:0.209593:0.592244:0.195490:0.584151:0.195490:0.000000
–1:@0.603080:0.183638:0.612577:0.183638:0.612577:0.175465:0.603080:0.175465:0.000000:0.000000
   :@0.619520:0.200077:0.638905:0.200077:0.638905:0.184407:0.619520:0.184407:0.000000:0.000000:0.000000
s)   :@0.542732:0.246187:0.574943:0.246187:0.574943:0.229051:0.542732:0.229051:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.576932:0.248884:0.582454:0.248884:0.582454:0.230523:0.576932:0.230523:0.000000
):@0.627731:0.248884:0.633254:0.248884:0.633254:0.230523:0.627731:0.230523:0.000000
⋅:@0.601479:0.247199:0.605625:0.247199:0.605625:0.233184:0.601479:0.233184:0.000000
1,20,5:@0.582075:0.246589:0.627633:0.246589:0.627633:0.232487:0.582075:0.232487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.633141:0.238103:0.637831:0.238103:0.637831:0.229930:0.633141:0.229930:0.000000
2. :@0.514246:0.269906:0.532987:0.269906:0.532987:0.252770:0.514246:0.252770:0.000000:0.000000:0.000000
Encuentra:@0.542735:0.269906:0.623706:0.269906:0.623706:0.253005:0.542735:0.253005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor de   para que se cumpla la :@0.623706:0.269906:0.907731:0.269906:0.907731:0.254236:0.623706:0.254236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.718111:0.269906:0.725574:0.269906:0.725574:0.253545:0.718111:0.253545:0.000000
igualdad. :@0.542735:0.286502:0.614124:0.286502:0.614124:0.270833:0.542735:0.270833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.331603:0.561973:0.331603:0.561973:0.314467:0.542735:0.314467:0.000000:0.000000:0.000000
2:@0.585261:0.330119:0.594254:0.330119:0.594254:0.314450:0.585261:0.314450:0.000000
x:@0.595207:0.322457:0.599532:0.322457:0.599532:0.313536:0.595207:0.313536:0.000000
( ):@0.578402:0.334933:0.608937:0.334933:0.608937:0.309705:0.578402:0.309705:0.000000:0.000000:0.000000
4:@0.609237:0.318804:0.614449:0.318804:0.614449:0.309722:0.609237:0.309722:0.000000
2:@0.625152:0.315228:0.630363:0.315228:0.630363:0.306146:0.625152:0.306146:0.000000
=:@0.634994:0.330797:0.645111:0.330797:0.645111:0.315224:0.634994:0.315224:0.000000
2:@0.648299:0.330119:0.657291:0.330119:0.657291:0.314450:0.648299:0.314450:0.000000
24:@0.663369:0.322457:0.673653:0.322457:0.673653:0.313376:0.663369:0.313376:0.000000:0.000000
b) :@0.542738:0.377705:0.563119:0.377705:0.563119:0.360569:0.542738:0.360569:0.000000:0.000000:0.000000
6:@0.585180:0.369824:0.590392:0.369824:0.590392:0.360742:0.585180:0.360742:0.000000
7:@0.617690:0.369824:0.622902:0.369824:0.622902:0.360742:0.617690:0.360742:0.000000
x:@0.652190:0.369824:0.656515:0.369824:0.656515:0.360902:0.652190:0.360902:0.000000
=:@0.662032:0.378162:0.672149:0.378162:0.672149:0.362589:0.662032:0.362589:0.000000
10:@0.684752:0.369824:0.695036:0.369824:0.695036:0.360742:0.684752:0.360742:0.000000:0.000000
c) :@0.542738:0.423810:0.560558:0.423810:0.560558:0.406674:0.542738:0.406674:0.000000:0.000000:0.000000
( ):@0.573429:0.430154:0.609510:0.430154:0.609510:0.401967:0.573429:0.401967:0.000000:0.000000:0.000000
=:@0.620283:0.424487:0.630400:0.424487:0.630400:0.408915:0.620283:0.408915:0.000000
5:@0.592799:0.423810:0.601792:0.423810:0.601792:0.408140:0.592799:0.408140:0.000000
25:@0.633690:0.423810:0.651473:0.423810:0.651473:0.408140:0.633690:0.408140:0.000000:0.000000
x:@0.610232:0.411236:0.614557:0.411236:0.614557:0.401754:0.610232:0.401754:0.000000
3:@0.582379:0.416975:0.587591:0.416975:0.587591:0.407894:0.582379:0.407894:0.000000
d) :@0.542738:0.477458:0.563230:0.477458:0.563230:0.460322:0.542738:0.460322:0.000000:0.000000:0.000000
13:@0.594525:0.469133:0.612308:0.469133:0.612308:0.453463:0.594525:0.453463:0.000000:0.000000
5:@0.599497:0.489093:0.608490:0.489093:0.608490:0.473423:0.599497:0.473423:0.000000
x:@0.625308:0.456757:0.629633:0.456757:0.629633:0.447836:0.625308:0.447836:0.000000
=:@0.635150:0.478691:0.645266:0.478691:0.645266:0.463118:0.635150:0.463118:0.000000
169:@0.648768:0.469134:0.675340:0.469134:0.675340:0.453464:0.648768:0.453464:0.000000:0.000000:0.000000
25:@0.654093:0.488469:0.671876:0.488469:0.671876:0.472799:0.654093:0.472799:0.000000:0.000000
e) :@0.542738:0.541164:0.561977:0.541164:0.561977:0.524028:0.542738:0.524028:0.000000:0.000000:0.000000
43:@0.596410:0.533244:0.614192:0.533244:0.614192:0.517574:0.596410:0.517574:0.000000:0.000000
x:@0.595415:0.552575:0.602878:0.552575:0.602878:0.537182:0.595415:0.537182:0.000000
2:@0.626355:0.520868:0.631566:0.520868:0.631566:0.511787:0.626355:0.511787:0.000000
=:@0.636197:0.542802:0.646313:0.542802:0.646313:0.527229:0.636197:0.527229:0.000000
43:@0.652063:0.533245:0.669845:0.533245:0.669845:0.517575:0.652063:0.517575:0.000000:0.000000
49:@0.651694:0.552580:0.669477:0.552580:0.669477:0.536910:0.651694:0.536910:0.000000:0.000000
f) :@0.542738:0.602357:0.559858:0.602357:0.559858:0.585221:0.542738:0.585221:0.000000:0.000000:0.000000
−:@0.574214:0.600520:0.584331:0.600520:0.584331:0.584947:0.574214:0.584947:0.000000
= −:@0.604528:0.600520:0.628410:0.600520:0.628410:0.584947:0.604528:0.584947:0.000000:0.000000:0.000000
6:@0.584165:0.599842:0.593158:0.599842:0.593158:0.584172:0.584165:0.584172:0.000000
1:@0.636942:0.590880:0.645935:0.590880:0.645935:0.575210:0.636942:0.575210:0.000000
36:@0.631591:0.610332:0.649374:0.610332:0.649374:0.594662:0.631591:0.594662:0.000000:0.000000
x:@0.594475:0.592180:0.598800:0.592180:0.598800:0.582698:0.594475:0.582698:0.000000
g) :@0.542738:0.663548:0.563027:0.663548:0.563027:0.646412:0.542738:0.646412:0.000000:0.000000:0.000000
4:@0.592012:0.659151:0.601005:0.659151:0.601005:0.643482:0.592012:0.643482:0.000000
1:@0.618397:0.650271:0.627390:0.650271:0.627390:0.634601:0.618397:0.634601:0.000000
3:@0.617826:0.669606:0.626819:0.669606:0.626819:0.653936:0.617826:0.653936:0.000000
x:@0.638343:0.640881:0.642668:0.640881:0.642668:0.631960:0.638343:0.631960:0.000000
=:@0.648185:0.659829:0.658301:0.659829:0.658301:0.644256:0.648185:0.644256:0.000000
64:@0.674570:0.650271:0.692352:0.650271:0.692352:0.634601:0.674570:0.634601:0.000000:0.000000
27:@0.674570:0.669606:0.692352:0.669606:0.692352:0.653936:0.674570:0.653936:0.000000:0.000000
h) :@0.542738:0.724740:0.563046:0.724740:0.563046:0.707604:0.542738:0.707604:0.000000:0.000000:0.000000
4:@0.585918:0.715643:0.594910:0.715643:0.594910:0.699973:0.585918:0.699973:0.000000
x:@0.592722:0.734974:0.600186:0.734974:0.600186:0.719581:0.592722:0.719581:0.000000
5:@0.624919:0.706253:0.630131:0.706253:0.630131:0.697172:0.624919:0.697172:0.000000
=:@0.632473:0.725201:0.642589:0.725201:0.642589:0.709628:0.632473:0.709628:0.000000
3 125:@0.647233:0.715644:0.686465:0.715644:0.686465:0.699975:0.647233:0.699975:0.000000:0.000000:0.000000:0.000000:0.000000
1024:@0.646643:0.734979:0.684715:0.734979:0.684715:0.719309:0.646643:0.719309:0.000000:0.000000:0.000000:0.000000
5:@0.700775:0.716861:0.705987:0.716861:0.705987:0.707780:0.700775:0.707780:0.000000
3. :@0.514246:0.769586:0.532987:0.769586:0.532987:0.752451:0.514246:0.752451:0.000000:0.000000:0.000000
Problema-decisión. :@0.542735:0.769586:0.694652:0.769586:0.694652:0.752575:0.542735:0.752575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Decide:@0.694929:0.769586:0.750230:0.769586:0.750230:0.752686:0.694929:0.752686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuáles de las afirma-:@0.750230:0.769586:0.903622:0.769586:0.903622:0.753917:0.750230:0.753917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones son verdaderas.:@0.542735:0.786183:0.708324:0.786183:0.708324:0.770513:0.542735:0.770513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.806347:0.561973:0.806347:0.561973:0.789212:0.542735:0.789212:0.000000:0.000000:0.000000
La  potencia  de  una  base  negativa  elevada :@0.571224:0.806347:0.907670:0.806347:0.907670:0.790678:0.571224:0.790678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a una exponente par es positiva. :@0.571224:0.822944:0.811795:0.822944:0.811795:0.807274:0.571224:0.807274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.542735:0.843108:0.563116:0.843108:0.563116:0.825973:0.542735:0.825973:0.000000:0.000000:0.000000
Al aplicar la propiedad potencia de potencia, :@0.571224:0.843108:0.907656:0.843108:0.907656:0.827439:0.571224:0.827439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se suman los exponentes. :@0.571224:0.859705:0.763660:0.859705:0.763660:0.844035:0.571224:0.844035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.542735:0.879869:0.560554:0.879869:0.560554:0.862734:0.542735:0.862734:0.000000:0.000000:0.000000
La potencia de una base positiva elevada a un :@0.571224:0.879869:0.907657:0.879869:0.907657:0.864200:0.571224:0.864200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponente par es positiva. :@0.571224:0.896466:0.767329:0.896466:0.767329:0.880796:0.571224:0.880796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.542735:0.916630:0.563226:0.916630:0.563226:0.899495:0.542735:0.899495:0.000000:0.000000:0.000000
La propiedad distributiva de la potencia se :@0.571224:0.916630:0.907709:0.916630:0.907709:0.900961:0.571224:0.900961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplica solo a la suma y a la resta. :@0.571224:0.933227:0.808624:0.933227:0.808624:0.917557:0.571224:0.917557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25:@0.384854:0.575877:0.396299:0.575877:0.396299:0.565905:0.384854:0.565905:0.000000:0.000000
–27:@0.381922:0.680073:0.399348:0.680073:0.399348:0.670101:0.381922:0.670101:0.000000:0.000000:0.000000
x = –3:@0.761034:0.327219:0.790010:0.327219:0.790010:0.317247:0.761034:0.317247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = –3:@0.761034:0.376558:0.790010:0.376558:0.790010:0.366586:0.761034:0.366586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = –2:@0.761034:0.600599:0.790010:0.600599:0.790010:0.590627:0.761034:0.590627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = 6:@0.764083:0.422975:0.786961:0.422975:0.786961:0.413003:0.764083:0.413003:0.000000:0.000000:0.000000:0.000000:0.000000
x = 4:@0.764083:0.474259:0.786961:0.474259:0.786961:0.464287:0.764083:0.464287:0.000000:0.000000:0.000000:0.000000:0.000000
x = 5:@0.758501:0.724184:0.781380:0.724184:0.781380:0.714212:0.758501:0.714212:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.781380:0.724554:0.789201:0.724554:0.789201:0.713350:0.781380:0.713350:0.000000
2:@0.789201:0.720331:0.792537:0.720331:0.792537:0.714517:0.789201:0.714517:0.000000
x = 3:@0.764081:0.657177:0.786960:0.657177:0.786960:0.647206:0.764081:0.647206:0.000000:0.000000:0.000000:0.000000:0.000000
x = 7:@0.764081:0.536690:0.786960:0.536690:0.786960:0.526719:0.764081:0.526719:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.381940:0.167069:0.388010:0.167069:0.388010:0.156492:0.381940:0.156492:0.000000
25:@0.379117:0.180120:0.391120:0.180120:0.391120:0.169543:0.379117:0.169543:0.000000:0.000000
e:@0.377804:0.221441:0.383066:0.221441:0.383066:0.210397:0.377804:0.210397:0.000000
14:@0.383210:0.216271:0.390152:0.216271:0.390152:0.210141:0.383210:0.210141:0.000000:0.000000
(:@0.365456:0.273027:0.369598:0.273027:0.369598:0.259257:0.365456:0.259257:0.000000
):@0.399836:0.273027:0.403979:0.273027:0.403979:0.259257:0.399836:0.259257:0.000000
−:@0.370333:0.271764:0.377161:0.271764:0.377161:0.261253:0.370333:0.261253:0.000000
0,64:@0.377050:0.271307:0.398979:0.271307:0.398979:0.260730:0.377050:0.260730:0.000000:0.000000:0.000000:0.000000
16:@0.371430:0.322963:0.383433:0.322963:0.383433:0.312386:0.371430:0.312386:0.000000:0.000000
4:@0.392280:0.317791:0.395798:0.317791:0.395798:0.311662:0.392280:0.311662:0.000000
1:@0.383286:0.367268:0.389356:0.367268:0.389356:0.356691:0.383286:0.356691:0.000000
16:@0.379293:0.380450:0.391296:0.380450:0.391296:0.369873:0.379293:0.369873:0.000000:0.000000
3375:@0.373377:0.417211:0.397246:0.417211:0.397246:0.406633:0.373377:0.406633:0.000000:0.000000:0.000000:0.000000
2744:@0.372979:0.430261:0.396848:0.430261:0.396848:0.419684:0.372979:0.419684:0.000000:0.000000:0.000000:0.000000
33:@0.383162:0.467367:0.395165:0.467367:0.395165:0.456790:0.383162:0.456790:0.000000:0.000000
8:@0.385873:0.480418:0.391943:0.480418:0.391943:0.469841:0.385873:0.469841:0.000000
1:@0.383602:0.518473:0.389672:0.518473:0.389672:0.507896:0.383602:0.507896:0.000000
2:@0.383067:0.531524:0.389137:0.531524:0.389137:0.520947:0.383067:0.520947:0.000000
1:@0.381692:0.617851:0.387763:0.617851:0.387763:0.607273:0.381692:0.607273:0.000000
81:@0.379118:0.630902:0.391121:0.630902:0.391121:0.620325:0.379118:0.620325:0.000000:0.000000
1:@0.382135:0.722095:0.388205:0.722095:0.388205:0.711518:0.382135:0.711518:0.000000
25:@0.374077:0.735700:0.394526:0.735700:0.394526:0.725123:0.374077:0.725123:0.000000:0.000000
3:@0.379784:0.776033:0.385854:0.776033:0.385854:0.765456:0.379784:0.765456:0.000000
4:@0.379648:0.789084:0.385718:0.789084:0.385718:0.778507:0.379648:0.778507:0.000000
8:@0.393707:0.769694:0.397225:0.769694:0.397225:0.763564:0.393707:0.763564:0.000000
3:@0.378563:0.832428:0.384633:0.832428:0.384633:0.821851:0.378563:0.821851:0.000000
7:@0.378177:0.845479:0.384248:0.845479:0.384248:0.834902:0.378177:0.834902:0.000000
6:@0.392133:0.826089:0.395650:0.826089:0.395650:0.819959:0.392133:0.819959:0.000000
1:@0.383854:0.880638:0.390598:0.880638:0.390598:0.868886:0.383854:0.868886:0.000000
0,36:@0.755452:0.242995:0.778090:0.242995:0.778090:0.231243:0.755452:0.231243:0.000000:0.000000:0.000000:0.000000
 2 :@0.379759:0.918077:0.392557:0.918077:0.392557:0.906324:0.379759:0.906324:0.000000:0.000000:0.000000
 3:@0.379759:0.932070:0.389530:0.932070:0.389530:0.920317:0.379759:0.920317:0.000000:0.000000
 4 :@0.759307:0.192915:0.772105:0.192915:0.772105:0.181162:0.759307:0.181162:0.000000:0.000000:0.000000
 5:@0.759307:0.206907:0.769078:0.206907:0.769078:0.195155:0.759307:0.195155:0.000000:0.000000
  1  :@0.755624:0.138859:0.774476:0.138859:0.774476:0.127107:0.755624:0.127107:0.000000:0.000000:0.000000:0.000000:0.000000
256:@0.755624:0.152852:0.775858:0.152852:0.775858:0.141100:0.755624:0.141100:0.000000:0.000000:0.000000
b y c:@0.879577:0.928649:0.901576:0.928649:0.901576:0.918678:0.879577:0.918678:0.000000:0.000000:0.000000:0.000000:0.000000