{"id":6588,"date":"2011-03-09T22:58:47","date_gmt":"2011-03-09T22:58:47","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6588"},"modified":"2022-01-03T00:45:56","modified_gmt":"2022-01-03T00:45:56","slug":"escreve-como-potencia-de-expoente-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6588","title":{"rendered":"Escreve como pot\u00eancia de expoente 2"},"content":{"rendered":"<p><ul id='GTTabs_ul_6588' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6588' class='GTTabs_curr'><a  id=\"6588_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6588' ><a  id=\"6588_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_6588'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Escreve como pot\u00eancia de expoente 2 a soma: $1+{{3}^{-1}}+{{3}^{-2}}+{{3}^{-3}}+{{3}^{-4}}$<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6588' onClick='GTTabs_show(1,6588)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6588'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n1+{{3}^{-1}}+{{3}^{-2}}+{{3}^{-3}}+{{3}^{-4}} &amp; = &amp; 1+\\frac{1}{3}+\\frac{1}{9}+\\frac{1}{27}+\\frac{1}{81}\u00a0 \\\\<br \/>\n{} &amp; = &amp; \\frac{81}{81}+\\frac{27}{81}+\\frac{9}{81}+\\frac{3}{81}+\\frac{1}{81}\u00a0 \\\\<br \/>\n{} &amp; = &amp; \\frac{121}{81}\u00a0 \\\\<br \/>\n{} &amp; = &amp; {{\\left( \\frac{11}{9} \\right)}^{2}}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6588' onClick='GTTabs_show(0,6588)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Escreve como pot\u00eancia de expoente 2 a soma: $1+{{3}^{-1}}+{{3}^{-2}}+{{3}^{-3}}+{{3}^{-4}}$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19176,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,137,97],"tags":[142],"series":[],"class_list":["post-6588","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-ainda-os-numeros","category-aplicando","tag-potencias"],"views":2210,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat67.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6588","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6588"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6588\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19176"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6588"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6588"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6588"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}