{"id":22543,"date":"2022-10-21T16:22:49","date_gmt":"2022-10-21T15:22:49","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22543"},"modified":"2022-10-21T16:35:03","modified_gmt":"2022-10-21T15:35:03","slug":"seja-a-um-numero-maior-do-que-1","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22543","title":{"rendered":"Seja \\(a\\) um n\u00famero maior do que \\(1\\)"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22543' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22543' class='GTTabs_curr'><a  id=\"22543_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22543' ><a  id=\"22543_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_22543'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Seja \\(a\\) um n\u00famero maior do de \\(1\\).<\/p>\n<p>Qual das express\u00f5es seguintes \u00e9 equivalente \u00e0 express\u00e3o \\(\\frac{{{{\\left( {{a^4}} \\right)}^3}}}{{{a^5}}}\\)?<\/p>\n<p>Transcreve a letra da op\u00e7\u00e3o correta.<\/p>\n<p><strong>[A]<\/strong> \\({a^2}\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> \\({a^7}\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> \\({a^{12}}\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> \\({a^{17}}\\)<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22543' onClick='GTTabs_show(1,22543)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22543'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Simplificando a express\u00e3o, por aplica\u00e7\u00e3o das regras operat\u00f3rias das pot\u00eancias, temos:<\/p>\n<p>\\[\\frac{{{{\\left( {{a^4}} \\right)}^3}}}{{{a^5}}} = \\frac{{{a^{4 \\times 3}}}}{{{a^5}}} = \\frac{{{a^{12}}}}{{{a^5}}} = {a^{12 &#8211; 5}} = {a^7}\\]<\/p>\n<p>Portanto, a op\u00e7\u00e3o correta \u00e9 <strong>B<\/strong>.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22543' onClick='GTTabs_show(0,22543)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Seja \\(a\\) um n\u00famero maior do de \\(1\\). Qual das express\u00f5es seguintes \u00e9 equivalente \u00e0 express\u00e3o \\(\\frac{{{{\\left( {{a^4}} \\right)}^3}}}{{{a^5}}}\\)? Transcreve a letra da op\u00e7\u00e3o correta. [A] \\({a^2}\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14083,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,142,337],"series":[],"class_list":["post-22543","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-potencias","tag-regras-operatorias-de-potencias"],"views":276,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat28.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22543","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=22543"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22543\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14083"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22543"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22543"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22543"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22543"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}