{"id":22560,"date":"2022-10-21T18:53:35","date_gmt":"2022-10-21T17:53:35","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22560"},"modified":"2022-10-21T19:52:14","modified_gmt":"2022-10-21T18:52:14","slug":"faz-corresponder-a-cada-expressao-o-seu-valor-numerico","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22560","title":{"rendered":"Faz corresponder a cada express\u00e3o o seu valor num\u00e9rico"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22560' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22560' class='GTTabs_curr'><a  id=\"22560_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22560' ><a  id=\"22560_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_22560'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Faz corresponder a cada express\u00e3o o seu valor num\u00e9rico.<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a01\u00a0<\/span><\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a02\u00a0<\/span><\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a03\u00a0<\/span><\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a04\u00a0<\/span><\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a05\u00a0<\/span><\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a06\u00a0<\/span><\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a07\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"background-color: #ffffff;\">\\[{\\frac{{729}}{{64}}}\\]<\/span><\/td>\n<td><span style=\"background-color: #ffffff;\">\\[{\\frac{{223}}{{125}}}\\]<\/span><\/td>\n<td><span style=\"background-color: #ffffff;\">\\[{ &#8211; 1}\\]<\/span><\/td>\n<td><span style=\"background-color: #ffffff;\">\\[{\\frac{{16}}{{625}}}\\]<\/span><\/td>\n<td><span style=\"background-color: #ffffff;\">\\[{\\frac{{29}}{4}}\\]<\/span><\/td>\n<td><span style=\"background-color: #ffffff;\">\\[{\\frac{{3101}}{{25}}}\\]<\/span><\/td>\n<td><span style=\"background-color: #ffffff;\">\\[1\\]<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0A\u00a0<\/span><\/td>\n<td>\\[{{{\\left[ {{{\\left( 2 \\right)}^3}} \\right]}^4} \\div {{\\left( {\\frac{1}{2}} \\right)}^{ &#8211; 8}} \\times {{\\left( {\\frac{1}{5}} \\right)}^4}}\\]<\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0B\u00a0<\/span><\/td>\n<td>\\[{{{\\left( {\\frac{1}{2}} \\right)}^{ &#8211; 3}} + {{\\left( {\\frac{1}{2}} \\right)}^2} &#8211; {{\\left( {\\frac{3}{2}} \\right)}^0}}\\]<\/td>\n<\/tr>\n<tr>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0C\u00a0<\/span><\/td>\n<td>\\[{\\frac{{{7^3} \\times {7^6} \\div {7^4}}}{{{{14}^5} \\div {2^5}}}}\\]<\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0D\u00a0<\/span><\/td>\n<td>\\[{{{\\left( {\\frac{1}{3}} \\right)}^{ &#8211; 2}} \\times {3^4} \\div {{\\left[ {{{\\left( 2 \\right)}^2}} \\right]}^3}}\\]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22560' onClick='GTTabs_show(1,22560)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22560'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n<p>Aplicando, sempre que poss\u00edvel, as regras da multiplica\u00e7\u00e3o e da divis\u00e3o de pot\u00eancias, temos:<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0A\u00a0<\/span><\/td>\n<td>\\[\\begin{array}{*{20}{l}}{{{\\left[ {{{\\left( 2 \\right)}^3}} \\right]}^4} \\div {{\\left( {\\frac{1}{2}} \\right)}^{ &#8211; 8}} \\times {{\\left( {\\frac{1}{5}} \\right)}^4}}&amp; = &amp;{{2^{12}} \\div {2^8} \\times {{\\left( {\\frac{1}{5}} \\right)}^4}}\\\\{}&amp; = &amp;{{2^4} \\times {{\\left( {\\frac{1}{5}} \\right)}^4}}\\\\{}&amp; = &amp;{{{\\left( {\\frac{2}{5}} \\right)}^4}}\\\\{}&amp; = &amp;{\\frac{{16}}{{625}}}\\end{array}\\]<\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0B\u00a0<\/span><\/td>\n<td>\\[\\begin{array}{*{20}{l}}{{{\\left( {\\frac{1}{2}} \\right)}^{ &#8211; 3}} + {{\\left( {\\frac{1}{2}} \\right)}^2} &#8211; {{\\left( {\\frac{3}{2}} \\right)}^0}}&amp; = &amp;{{2^3} + \\frac{1}{4} &#8211; 1}\\\\{}&amp; = &amp;{8 + \\frac{1}{4} &#8211; 1}\\\\{}&amp; = &amp;{\\frac{{29}}{4}}\\end{array}\\]<\/td>\n<\/tr>\n<tr>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0C\u00a0<\/span><\/td>\n<td>\\[\\begin{array}{*{20}{l}}{\\frac{{{7^3} \\times {7^6} \\div {7^4}}}{{{{14}^5} \\div {2^5}}}}&amp; = &amp;{\\frac{{{7^9} \\div {7^4}}}{{{7^5}}}}\\\\{}&amp; = &amp;{\\frac{{{7^5}}}{{{7^5}}}}\\\\{}&amp; = &amp;1\\end{array}\\]<\/td>\n<td><span style=\"background-color: #800000; color: #ffffff;\">\u00a0D\u00a0<\/span><\/td>\n<td>\\[\\begin{array}{*{20}{l}}{{{\\left( {\\frac{1}{3}} \\right)}^{ &#8211; 2}} \\times {3^4} \\div {{\\left[ {{{\\left( 2 \\right)}^2}} \\right]}^3}}&amp; = &amp;{{3^2} \\times {3^4} \\div {2^6}}\\\\{}&amp; = &amp;{{3^6} \\div {2^6}}\\\\{}&amp; = &amp;{{{\\left( {\\frac{3}{2}} \\right)}^6}}\\\\{}&amp; = &amp;{\\frac{{729}}{{64}}}\\end{array}\\]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Portanto, <span style=\"background-color: #800000; color: #ffffff;\">\u00a0A\u00a0<\/span> \u2192 <span style=\"background-color: #800000; color: #ffffff;\">\u00a04 <\/span>,\u00a0 \u00a0 <span style=\"background-color: #800000; color: #ffffff;\">\u00a0B\u00a0<\/span> \u2192 <span style=\"background-color: #800000; color: #ffffff;\">\u00a05 <\/span>,\u00a0 \u00a0 <span style=\"background-color: #800000; color: #ffffff;\">\u00a0C\u00a0<\/span> \u2192 <span style=\"background-color: #800000; color: #ffffff;\">\u00a07\u00a0<\/span>\u00a0 \u00a0e\u00a0 \u00a0<span style=\"background-color: #800000; color: #ffffff;\">\u00a0D\u00a0<\/span> \u2192 <span style=\"background-color: #800000; color: #ffffff;\">\u00a01 <\/span>.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22560' onClick='GTTabs_show(0,22560)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Faz corresponder a cada express\u00e3o o seu valor num\u00e9rico. \u00a01\u00a0 \u00a02\u00a0 \u00a03\u00a0 \u00a04\u00a0 \u00a05\u00a0 \u00a06\u00a0 \u00a07\u00a0 \\[{\\frac{{729}}{{64}}}\\] \\[{\\frac{{223}}{{125}}}\\] \\[{ &#8211; 1}\\] \\[{\\frac{{16}}{{625}}}\\] \\[{\\frac{{29}}{4}}\\] \\[{\\frac{{3101}}{{25}}}\\] \\[1\\] \u00a0A\u00a0 \\[{{{\\left[ {{{\\left( 2 \\right)}^3}} \\right]}^4}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19171,"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-22560","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":212,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat62.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22560","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=22560"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22560\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19171"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22560"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22560"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22560"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22560"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}