{"id":11145,"date":"2012-10-30T18:57:08","date_gmt":"2012-10-30T18:57:08","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11145"},"modified":"2022-01-10T23:45:51","modified_gmt":"2022-01-10T23:45:51","slug":"o-nuno-escreveu-um-numero","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11145","title":{"rendered":"O Nuno escreveu um n\u00famero"},"content":{"rendered":"<p><ul id='GTTabs_ul_11145' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11145' class='GTTabs_curr'><a  id=\"11145_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11145' ><a  id=\"11145_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_11145'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O Nuno escreveu o n\u00famero ${27^6}$ na forma de uma pot\u00eancia de base $3$ e na forma de outra da base $9$.<br \/>\nComo ter\u00e1 ele feito?<br \/>\nExplica a tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11145' onClick='GTTabs_show(1,11145)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11145'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>A base da pot\u00eancia ${27^6}$ \u00e9 tamb\u00e9m uma pot\u00eancia de base $3$, isto \u00e9, $27 = {3^3}$.<\/p>\n<p>Assim, a pot\u00eancia dada pode ser escrita na forma de uma pot\u00eancia de pot\u00eancia: ${27^6} = {\\left( {{3^3}} \\right)^6}$.<\/p>\n<p>Logo, a pot\u00eancia dada pode ser escrita na forma de uma pot\u00eancia de base $3$: ${27^6} = {\\left( {{3^3}} \\right)^6} = {3^{18}}$.<\/p>\n<\/p>\n<p>Quanta \u00e0 pot\u00eancia de base $9$, poder\u00e1 ter feito: ${27^6} = {\\left( {{3^3}} \\right)^6} = {3^{18}} = {\\left( {{3^2}} \\right)^9} = {9^9}$.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11145' onClick='GTTabs_show(0,11145)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O Nuno escreveu o n\u00famero ${27^6}$ na forma de uma pot\u00eancia de base $3$ e na forma de outra da base $9$. Como ter\u00e1 ele feito? Explica a tua resposta. Resolu\u00e7\u00e3o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19269,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,142],"series":[],"class_list":["post-11145","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-potencias"],"views":2891,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat90.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11145","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=11145"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11145\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19269"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11145"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11145"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11145"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}