{"id":2349,"date":"2021-02-17T18:36:51","date_gmt":"2021-02-17T17:36:51","guid":{"rendered":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/?p=2349"},"modified":"2022-01-17T22:30:53","modified_gmt":"2022-01-17T21:30:53","slug":"potencias-de-exponente-7-de-los-numeros-naturales","status":"publish","type":"post","link":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/potencias-de-exponente-7-de-los-numeros-naturales\/","title":{"rendered":"Potencias de exponente 7 de los n\u00fameros naturales"},"content":{"rendered":"<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se colocan ahora todos los n\u00fameros impares seguidos seg\u00fan la distribuci\u00f3n indicada a continuaci\u00f3n. Se completan cubos de arista n y, a continuaci\u00f3n, se completan tres pir\u00e1mides de base cuadrada. En este apartado se estudiar\u00e1 \u00fanicamente la suma de los n\u00fameros impares situados en los cubos. De la misma forma que suced\u00eda en las potencias de exponente 5, se puede estudiar la suma de los impares situados en las pir\u00e1mides, pero el estudio realizado en este art\u00edculo se centra en el resultado de los primeros.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2350 aligncenter\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_1.png\" alt=\"\" width=\"578\" height=\"144\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_1.png 578w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_1-300x75.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt;color: #000080\"><span style=\"color: #ff0000\">1<\/span> = <span style=\"color: #ff0000\">1<sup>7<\/sup><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2353\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_2.png\" alt=\"\" width=\"645\" height=\"313\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_2.png 645w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_2-300x146.png 300w\" sizes=\"(max-width: 645px) 100vw, 645px\" \/><\/p>\n<p style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt;color: #000080\">9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 = <span style=\"color: #ff0000\">128<\/span> = <span style=\"color: #ff0000\">2<sup>7<\/sup><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2355\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_3.png\" alt=\"\" width=\"653\" height=\"486\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_3.png 653w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_3-300x223.png 300w\" sizes=\"(max-width: 653px) 100vw, 653px\" \/><\/p>\n<p style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt;color: #000080\">55 + 57 + 59 + . . . + 103 + 105 + 107 = <span style=\"color: #ff0000\">2187<\/span> = <span style=\"color: #ff0000\">3<sup>7<\/sup><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2357\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_41.png\" alt=\"\" width=\"587\" height=\"324\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_41.png 587w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_41-300x166.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><\/p>\n<p style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt;color: #000080\">193 + 195 + 197 + . . . + 315 + 317 + 319 = <span style=\"color: #ff0000\">16384<\/span> = <span style=\"color: #ff0000\">4<sup>7<\/sup><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2358\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_42.png\" alt=\"\" width=\"648\" height=\"172\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_42.png 648w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_42-300x80.png 300w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2359\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_43.png\" alt=\"\" width=\"582\" height=\"361\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_43.png 582w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_43-300x186.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2361\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_50.png\" alt=\"\" width=\"740\" height=\"308\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_50.png 740w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_50-300x125.png 300w\" sizes=\"(max-width: 740px) 100vw, 740px\" \/><\/p>\n<p style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt;color: #000080\">501 + 503 + 505 + . . . + 745 + 747 + 749 = <span style=\"color: #ff0000\">78125<\/span>&nbsp;= <span style=\"color: #ff0000\">5<sup>7<\/sup><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2363\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_52.png\" alt=\"\" width=\"667\" height=\"180\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_52.png 667w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_52-300x81.png 300w\" sizes=\"(max-width: 667px) 100vw, 667px\" \/><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2364\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_53.png\" alt=\"\" width=\"628\" height=\"531\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_53.png 628w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/pot7_53-300x254.png 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><\/p>\n<p style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\"><span style=\"color: #000080\">. . .<\/span>&nbsp;<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se puede ampliar la informaci\u00f3n en el siguiente enlace:<\/span><\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/drive.google.com\/file\/d\/1ga7FuN8_dLG9EzrtsOSAVOR5jTCS4mF4\/view\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Los n\u00fameros impares y<\/span> <span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">las potencias de los n\u00fameros naturales.<\/span><\/a><\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/drive.google.com\/file\/d\/1OwcTSNFO1S33XR_tO7hcZgljgljCpkt8\/view\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Los n\u00fameros impares y las potencias de los n\u00fameros naturales II.<\/span><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se colocan ahora todos los n\u00fameros impares seguidos seg\u00fan la distribuci\u00f3n indicada a continuaci\u00f3n. Se completan cubos de arista n y, a continuaci\u00f3n, se completan tres pir\u00e1mides de base cuadrada. En este apartado se&#46;&#46;&#46;<\/p>\n","protected":false},"author":7927,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[2075214],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/2349"}],"collection":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/users\/7927"}],"replies":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/comments?post=2349"}],"version-history":[{"count":12,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/2349\/revisions"}],"predecessor-version":[{"id":4098,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/2349\/revisions\/4098"}],"wp:attachment":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/media?parent=2349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/categories?post=2349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/tags?post=2349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}