{"id":115334,"date":"2020-01-29T18:20:46","date_gmt":"2020-01-29T17:20:46","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/aritmetica\/propiedades-potencias.html"},"modified":"2026-10-07T17:43:42","modified_gmt":"2026-10-07T15:43:42","slug":"propiedades-potencias","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\/propiedades-potencias.html","title":{"rendered":"Propiedades de las potencias"},"content":{"rendered":"<section style=\"\">\r\n          \n\n<h2 class=\"wp-block-heading\">Potencias de exponente cero<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\" ><strong>a<sup>0<\/sup> = 1<\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\" >6<sup>0<\/sup> = 1<\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Potencias de exponente uno<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"> <strong>a<sup>1<\/sup> = a<\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\" >6<sup>1<\/sup> = 6<\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Signo<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">Las <strong>potencias de exponente par<\/strong> son siempre <strong>positivas<\/strong>.<\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-1.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 1\"  ><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">2<sup>6<\/sup> = 64<\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">(\u22122)<sup>6<\/sup> = 64<\/p>\n\n\r\n                        \r\n                        \n\n<p class=\"wp-block-paragraph\">Las <strong>potencias de exponente  impar<\/strong> tiene el <strong>mismo signo<\/strong> de la <strong>base<\/strong>.<\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-2.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 2\"  ><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">2<sup>3<\/sup> =  8 <\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">(\u22122)<sup>3<\/sup> =  \u22128<\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Potencias de exponente entero negativo<\/h2>\n\n\r\n                        \r\n                         \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-3.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 3\"  ><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-4.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 4\"  ><\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Potencias de exponente racional<\/h2>\n\n\r\n                        \r\n                        \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-5.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 5\"  ><\/p>\n\n\r\n                         \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-6.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 6\"  ><\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Potencias de exponente racional y negativo<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-7.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 7\"  ><\/p>\n\n\r\n                         \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-las-potencias-8.gif\" alt=\"Explicaciones y ejemplos de propiedades de las potencias - 8\"  ><\/p>\n\n\r\n                         \n\n<h2 class=\"wp-block-heading\">Multiplicaci\u00f3n de potencias con la misma base<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>a<sup>m <\/sup> \u00b7 a <sup>n <\/sup> = a<sup>m+n<\/sup><\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">7<sup>5 <\/sup> \u00b7 7<sup>2 <\/sup> = 7<sup>5+2 <\/sup> = 7<sup>7<\/sup><\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Divisi\u00f3n de potencias con la misma base<\/h2>\n\n\t\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>a<sup>m <\/sup> : a <sup>n <\/sup> = a<sup>m - n<\/sup><\/strong><\/p>\n\n\r\n                         \n\n<p class=\"wp-block-paragraph\">7<sup>5 <\/sup> : 7<sup>2 <\/sup> = 7<sup>5 - 2 <\/sup>= 7<sup>3<\/sup> <\/p>\n\n\r\n                         \n\n<h2 class=\"wp-block-heading\">Potencia de un potencia<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>(a<sup>m<\/sup>)<sup>n<\/sup>=a<sup>m \u00b7 n <\/sup><\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">(7<sup>5<\/sup>)<sup>3<\/sup> = 7<sup>15<\/sup> <\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Multiplicaci\u00f3n de potencias con el mismo exponente<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>a<sup>n <\/sup> \u00b7 b <sup>n <\/sup> = (a \u00b7 b) <sup>n<\/sup><\/strong><\/p>\n\n\r\n                         \n\n<p class=\"wp-block-paragraph\">2<sup>3 <\/sup> \u00b7 4<sup>3 <\/sup> = 8<sup>3<\/sup><\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Divisi\u00f3n de potencias con el mismo exponente<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>a<sup>n <\/sup> : b <sup>n <\/sup> = (a : b) <sup>n<\/sup><\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">6<sup>3 <\/sup> : 3<sup>3 <\/sup> = 2<sup>3<\/sup><\/p>\n\n\n<\/section>","protected":false},"excerpt":{"rendered":"<p>Potencias de exponente cero a0 = 1 60 = 1 Potencias de exponente uno a1 = a 61 = 6 Signo Las potencias de exponente par son siempre positivas. 26 = 64 (\u22122)6 = 64 Las potencias de exponente impar tiene el mismo signo de la base. 23 = 8 (\u22122)3 = \u22128 Potencias de [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[377],"tags":[363],"class_list":["post-115334","post","type-post","status-publish","format-standard","hentry","category-aritmetica","tag-p"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">p<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">p<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 7 a\u00f1os hace","modified":"Actualizado 2 semanas hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 7 octubre 2026"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 20 min","modified":"Actualizado el 7 octubre 2026 17 h 43 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115334","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=115334"}],"version-history":[{"count":5,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115334\/revisions"}],"predecessor-version":[{"id":141272,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115334\/revisions\/141272"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=115334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=115334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=115334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}