{"id":22632,"date":"2022-10-22T15:03:30","date_gmt":"2022-10-22T14:03:30","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22632"},"modified":"2022-10-22T15:27:11","modified_gmt":"2022-10-22T14:27:11","slug":"escrevendo-sob-a-forma-de-potencias-de-base-3","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22632","title":{"rendered":"Escrevendo sob a forma de pot\u00eancias de base 3"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22632' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22632' class='GTTabs_curr'><a  id=\"22632_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22632' ><a  id=\"22632_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_22632'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Escrevendo sob a forma de pot\u00eancias de base 3 os n\u00fameros \\[\\begin{array}{*{20}{c}}{7129}&amp;{\\frac{1}{{27}}}&amp;{ &#8211; \\frac{1}{{81}}}&amp;1\\end{array}\\] obt\u00e9m-se:<\/p>\n<p><strong>[A]<\/strong> \\(\\begin{array}{*{20}{c}}{{3^6}}&amp;{{3^{ &#8211; 3}}}&amp;{{{\\left( { &#8211; 3} \\right)}^{ &#8211; 4}}}&amp;{{3^0}}\\end{array}\\)<\/p>\n<p><strong>[B]<\/strong> \\(\\begin{array}{*{20}{c}}{{3^5}}&amp;{{3^3}}&amp;{ &#8211; {3^4}}&amp;{{3^0}}\\end{array}\\)<\/p>\n<p><strong>[C]<\/strong> \\(\\begin{array}{*{20}{c}}{{3^6}}&amp;{{3^{ &#8211; 3}}}&amp;{ &#8211; {3^{ &#8211; 4}}}&amp;{{3^0}}\\end{array}\\)<\/p>\n<p><strong>[D]<\/strong> \\(\\begin{array}{*{20}{c}}{{3^5}}&amp;{{{\\left( { &#8211; 3} \\right)}^3}}&amp;{ &#8211; {3^4}}&amp;{{3^0}}\\end{array}\\)<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22632' onClick='GTTabs_show(1,22632)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22632'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Escrevendo cada um dos n\u00fameros sob a forma de pot\u00eancia de base 3, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{c}}{7129 = {3^6}}&amp;{}&amp;{\\frac{1}{{27}} = {{\\left( {\\frac{1}{3}} \\right)}^3} = {3^{ &#8211; 3}}}&amp;{}&amp;{ &#8211; \\frac{1}{{81}} = &#8211; {{\\left( {\\frac{1}{3}} \\right)}^4} = &#8211; {3^{ &#8211; 4}}}&amp;{}&amp;1\\end{array} = {3^0}\\]<\/p>\n<p>Portanto, a op\u00e7\u00e3o correta \u00e9 <strong>[C]<\/strong>.<\/p>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22632' onClick='GTTabs_show(0,22632)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Escrevendo sob a forma de pot\u00eancias de base 3 os n\u00fameros \\[\\begin{array}{*{20}{c}}{7129}&amp;{\\frac{1}{{27}}}&amp;{ &#8211; \\frac{1}{{81}}}&amp;1\\end{array}\\] obt\u00e9m-se: [A] \\(\\begin{array}{*{20}{c}}{{3^6}}&amp;{{3^{ &#8211; 3}}}&amp;{{{\\left( { &#8211; 3} \\right)}^{ &#8211; 4}}}&amp;{{3^0}}\\end{array}\\) [B] \\(\\begin{array}{*{20}{c}}{{3^5}}&amp;{{3^3}}&amp;{ &#8211; {3^4}}&amp;{{3^0}}\\end{array}\\) [C] \\(\\begin{array}{*{20}{c}}{{3^6}}&amp;{{3^{&#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],"series":[],"class_list":["post-22632","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"],"views":268,"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\/22632","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=22632"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22632\/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=22632"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22632"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22632"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22632"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}