{"id":11051,"date":"2012-10-26T18:29:00","date_gmt":"2012-10-26T17:29:00","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11051"},"modified":"2022-01-02T12:02:47","modified_gmt":"2022-01-02T12:02:47","slug":"calcula-o-numero-designado-por-cada-uma-das-expressoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11051","title":{"rendered":"Calcula o n\u00famero designado por cada uma das express\u00f5es"},"content":{"rendered":"<p><ul id='GTTabs_ul_11051' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11051' class='GTTabs_curr'><a  id=\"11051_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11051' ><a  id=\"11051_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_11051'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula o n\u00famero designado por cada uma das seguintes express\u00f5es, sempre que poss\u00edvel, as regras operat\u00f3rias das pot\u00eancias:<\/p>\n<ol>\n<li>${\\left( { &#8211; 2} \\right)^3} + {\\left( { &#8211; 2} \\right)^4} &#8211; {\\left( { &#8211; 2} \\right)^2}$<\/li>\n<li>${\\left( { &#8211; 3} \\right)^7} \\div {\\left( { &#8211; 3} \\right)^3} \\times {\\left( { &#8211; 2} \\right)^4} &#8211; {6^4}$<\/li>\n<li>${\\left( { &#8211; 1} \\right)^{10}} &#8211; {\\left( { &#8211; 3} \\right)^3} + {\\left( { &#8211; 1} \\right)^{21}} \\times {\\left( { &#8211; 1} \\right)^3}$<\/li>\n<li>${\\left( { &#8211; 2} \\right)^3} &#8211; {\\left( { &#8211; 3 + 1} \\right)^2} + {\\left( { &#8211; 3 + 1} \\right)^3} \\div \\left( { &#8211; 2} \\right)$<\/li>\n<li>${\\left( { &#8211; 8} \\right)^2} \\div {\\left( { &#8211; 2} \\right)^3}$<\/li>\n<li>${6^5} \\div {6^3} \\times {\\left( { &#8211; 6} \\right)^3}$<\/li>\n<li>${5^5} \\times {2^5} \\div {\\left( {1 + {3^2}} \\right)^3}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11051' onClick='GTTabs_show(1,11051)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11051'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 2} \\right)}^3} + {{\\left( { &#8211; 2} \\right)}^4} &#8211; {{\\left( { &#8211; 2} \\right)}^2}}&amp; = &amp;{ &#8211; 8 + 16 &#8211; 4} \\\\ \u00a0 {}&amp; = &amp;4 \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 3} \\right)}^7} \\div {{\\left( { &#8211; 3} \\right)}^3} \\times {{\\left( { &#8211; 2} \\right)}^4} &#8211; {6^4}}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^4} \\times {{\\left( { &#8211; 2} \\right)}^4} &#8211; {6^4}} \\\\ \u00a0 {}&amp; = &amp;{{6^4} &#8211; {6^4}} \\\\ \u00a0 {}&amp; = &amp;0 \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 1} \\right)}^{10}} &#8211; {{\\left( { &#8211; 3} \\right)}^3} + {{\\left( { &#8211; 1} \\right)}^{21}} \\times {{\\left( { &#8211; 1} \\right)}^3}}&amp; = &amp;{1 &#8211; \\left( { &#8211; 27} \\right) + {{\\left( { &#8211; 1} \\right)}^{24}}} \\\\ \u00a0 {}&amp; = &amp;{1 + 27 + 1} \\\\ \u00a0 {}&amp; = &amp;{29} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 2} \\right)}^3} &#8211; {{\\left( { &#8211; 3 + 1} \\right)}^2} + {{\\left( { &#8211; 3 + 1} \\right)}^3} \\div \\left( { &#8211; 2} \\right)}&amp; = &amp;{ &#8211; 8 &#8211; {{\\left( { &#8211; 2} \\right)}^2} + {{\\left( { &#8211; 2} \\right)}^3} \\div {{\\left( { &#8211; 2} \\right)}^1}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 8 &#8211; 4 + {{\\left( { &#8211; 2} \\right)}^2}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 12 + 4} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 8} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 8} \\right)}^2} \\div {{\\left( { &#8211; 2} \\right)}^3}}&amp; = &amp;{{{\\left( {{{\\left( { &#8211; 2} \\right)}^3}} \\right)}^2} \\div {{\\left( { &#8211; 2} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( {{{\\left( { &#8211; 2} \\right)}^2}} \\right)}^3} \\div {{\\left( { &#8211; 2} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { + 4} \\right)}^3} \\div {{\\left( { &#8211; 2} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { &#8211; 2} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 8} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{6^5} \\div {6^3} \\times {{\\left( { &#8211; 6} \\right)}^3}}&amp; = &amp;{{6^2} \\times {{\\left( { &#8211; 6} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { &#8211; 6} \\right)}^2} \\times {{\\left( { &#8211; 6} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { &#8211; 6} \\right)}^5}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 7776} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{5^5} \\times {2^5} \\div {{\\left( {1 + {3^2}} \\right)}^3}}&amp; = &amp;{{{10}^5} \\div {{\\left( {1 + 9} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{10}^5} \\div {{10}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{10}^2}} \\\\ \u00a0 {}&amp; = &amp;{100} \\end{array}$$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11051' onClick='GTTabs_show(0,11051)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula o n\u00famero designado por cada uma das seguintes express\u00f5es, sempre que poss\u00edvel, as regras operat\u00f3rias das pot\u00eancias: ${\\left( { &#8211; 2} \\right)^3} + {\\left( { &#8211; 2} \\right)^4} &#8211; {\\left(&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19189,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,319,142,337],"series":[],"class_list":["post-11051","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-numeros-inteiros-2","tag-potencias","tag-regras-operatorias-de-potencias"],"views":2541,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat75.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11051","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=11051"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11051\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19189"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11051"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11051"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11051"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11051"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}