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{"id":10648,"date":"2012-10-20T16:44:19","date_gmt":"2012-10-20T15:44:19","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10648"},"modified":"2022-01-01T12:20:42","modified_gmt":"2022-01-01T12:20:42","slug":"calcula-o-valor-de-cada-uma-das-potencias","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10648","title":{"rendered":"Calcula o valor de cada uma das pot\u00eancias"},"content":{"rendered":"<p><ul id='GTTabs_ul_10648' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10648' class='GTTabs_curr'><a  id=\"10648_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10648' ><a  id=\"10648_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_10648'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula o n\u00famero designado por cada uma das seguintes pot\u00eancias:<\/p>\n<ol>\n<li>\u00a0${2^4}$<\/li>\n<li>${3^3}$<\/li>\n<li>${0^{75}}$<\/li>\n<li>${\\left( { &#8211; 2} \\right)^4}$<\/li>\n<li>${\\left( { &#8211; 3} \\right)^2}$<\/li>\n<li>${\\left( { &#8211; 1} \\right)^{101}}$<\/li>\n<li>${\\left( { &#8211; 2} \\right)^5}$<\/li>\n<li>${\\left( { &#8211; 3} \\right)^3}$<\/li>\n<li>${\\left( { &#8211; 1} \\right)^{98}}$<\/li>\n<li>${4^3}$<\/li>\n<li>${\\left( { &#8211; 10} \\right)^3}$<\/li>\n<li>${10^7}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10648' onClick='GTTabs_show(1,10648)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10648'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>O valor de cada uma das pot\u00eancias poder\u00e1 (e dever\u00e1) ser calculado mentalmente.<br \/>\nNo entanto, para recordar o processo de c\u00e1lculo, apresentam-se os mesmos:<\/p>\n<ol>\n<li>${2^4} = 2 \\times 2 \\times 2 \\times 2 = 16$<br \/>\n\u00ad<\/li>\n<li>${3^3} = 3 \\times 3 \\times 3 = 27$<br \/>\n\u00ad<\/li>\n<li>${0^{75}} = \\underbrace {0 \\times 0 \\times\u00a0 \\cdots\u00a0 \\times 0}_{{\\text{75 fatores}}} = 0$<br \/>\n\u00ad<\/li>\n<li>${\\left( { &#8211; 2} \\right)^4} = \\left( { &#8211; 2} \\right) \\times \\left( { &#8211; 2} \\right) \\times \\left( { &#8211; 2} \\right) \\times \\left( { &#8211; 2} \\right) = 16$<br \/>\n\u00ad<\/li>\n<li>${\\left( { &#8211; 3} \\right)^2} = \\left( { &#8211; 3} \\right) \\times \\left( { &#8211; 3} \\right) = 9$<br \/>\n\u00ad<\/li>\n<li>${\\left( { &#8211; 1} \\right)^{101}} = \\underbrace {\\left( { &#8211; 1} \\right) \\times \\left( { &#8211; 1} \\right) \\times\u00a0 \\ldots\u00a0 \\times \\left( { &#8211; 1} \\right)}_{{\\text{101 fatores}}} =\u00a0 &#8211; 1$<br \/>\n\u00ad<\/li>\n<li>${\\left( { &#8211; 2} \\right)^5} = \\left( { &#8211; 2} \\right) \\times \\left( { &#8211; 2} \\right) \\times \\left( { &#8211; 2} \\right) \\times \\left( { &#8211; 2} \\right) \\times \\left( { &#8211; 2} \\right) =\u00a0 &#8211; 32$<br \/>\n\u00ad<\/li>\n<li>${\\left( { &#8211; 3} \\right)^3} = \\left( { &#8211; 3} \\right) \\times \\left( { &#8211; 3} \\right) \\times \\left( { &#8211; 3} \\right) =\u00a0 &#8211; 27$<br \/>\n\u00ad<\/li>\n<li>${\\left( { &#8211; 1} \\right)^{98}} = \\underbrace {\\left( { &#8211; 1} \\right) \\times \\left( { &#8211; 1} \\right) \\times\u00a0 \\ldots\u00a0 \\times \\left( { &#8211; 1} \\right)}_{{\\text{98 fatores}}} = 1$<br \/>\n\u00ad<\/li>\n<li>${4^3} = 4 \\times 4 \\times 4 = 64$<br \/>\n\u00ad<\/li>\n<li>${\\left( { &#8211; 10} \\right)^3} = \\left( { &#8211; 10} \\right) \\times \\left( { &#8211; 10} \\right) \\times \\left( { &#8211; 10} \\right) =\u00a0 &#8211; 1000$<br \/>\n\u00ad<\/li>\n<li>${10^7} = 10 \\times 10 \\times\u00a0 \\cdots\u00a0 \\times 10 = 10000000$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10648' onClick='GTTabs_show(0,10648)'>&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 pot\u00eancias: \u00a0${2^4}$ ${3^3}$ ${0^{75}}$ ${\\left( { &#8211; 2} \\right)^4}$ ${\\left( { &#8211; 3} \\right)^2}$ ${\\left( { &#8211; 1} \\right)^{101}}$ ${\\left( { &#8211;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19307,"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-10648","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":2139,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat112.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10648","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=10648"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10648\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19307"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10648"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10648"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10648"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10648"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}