Aplicando, sempre que poss\u00edvel, as regras da multiplica\u00e7\u00e3o e da divis\u00e3o de pot\u00eancias, temos:<\/p>\n\n\n\n\n\n\n\n\n

\\[\\begin{array}{*{20}{l}}{{2^3} \\times {{( – 3)}^3}}& = &{{{\\left( {2 \\times \\left( { – 3} \\right)} \\right)}^3}}\\\\{}& = &{{{\\left( { – 6} \\right)}^3}}\\\\{}& = &{ – 216}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{\\left( { – 2} \\right)}^2} \\times ( – 2) – 3}& = &{{{\\left( { – 2} \\right)}^{2 + 1}} – 3}\\\\{}& = &{{{\\left( { – 2} \\right)}^3} – 3}\\\\{}& = &{ – 8 – 3}\\\\{}& = &{ – 11}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{\\left( { – 7} \\right)}^2} \\div {{( – 1)}^2}}& = &{{{\\left( { – 7 \\div \\left( { – 1} \\right)} \\right)}^2}}\\\\{}& = &{{7^2}}\\\\{}& = &{49}\\end{array}\\]<\/td>\n<\/tr>\n
\\[\\begin{array}{*{20}{l}}{{{\\left( { – 5} \\right)}^9} \\div {{( – 5)}^{11}}}& = &{{{\\left( { – 5} \\right)}^{9 – 11}}}\\\\{}& = &{{{\\left( { – 5} \\right)}^{ – 2}}}\\\\{}& = &{{{\\left( { – \\frac{1}{5}} \\right)}^2}}\\\\{}& = &{\\frac{1}{{25}}}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{({{10}^3})}^{ – 2}}}& = &{{{10}^{3 \\times \\left( { – 2} \\right)}}}\\\\{}& = &{{{10}^{ – 6}}}\\\\{}& = &{{{\\left( {\\frac{1}{{10}}} \\right)}^6}}\\\\{}& = &{\\frac{1}{{1000000}}}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{3^2} \\times {5^2}}& = &{{{\\left( {3 \\times 5} \\right)}^2}}\\\\{}& = &{{{15}^2}}\\\\{}& = &{225}\\end{array}\\]<\/td>\n<\/tr>\n
\\[\\begin{array}{*{20}{l}}{{{\\left( { – 1} \\right)}^5} \\times {2^5}}& = &{{{\\left( { – 1 \\times 2} \\right)}^5}}\\\\{}& = &{{{\\left( { – 2} \\right)}^5}}\\\\{}& = &{ – 32}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{\\left( { – \\frac{1}{3}} \\right)}^{ – 4}} \\times {3^{ – 4}}}& = &{{{\\left( { – \\frac{1}{3} \\times 3} \\right)}^{ – 4}}}\\\\{}& = &{{{\\left( { – 1} \\right)}^{ – 4}}}\\\\{}& = &{{{\\left( { – 1} \\right)}^4}}\\\\{}& = &1\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{2^2} \\times {{\\left( { – 2} \\right)}^3}}& = &{{{\\left( { – 2} \\right)}^2} \\times {{\\left( { – 2} \\right)}^3}}\\\\{}& = &{{{\\left( { – 2} \\right)}^{2 + 3}}}\\\\{}& = &{{{\\left( { – 2} \\right)}^5}}\\\\{}& = &{ – 32}\\end{array}\\]<\/td>\n<\/tr>\n
\\[\\begin{array}{*{20}{l}}{ – \\frac{2}{3} \\times {{\\left( {\\frac{3}{2}} \\right)}^{ – 3}}}& = &{ – \\left[ {\\frac{2}{3} \\times {{\\left( {\\frac{2}{3}} \\right)}^{ + 3}}} \\right]}\\\\{}& = &{ – {{\\left( {\\frac{2}{3}} \\right)}^{1 + 3}}}\\\\{}& = &{ – {{\\left( {\\frac{2}{3}} \\right)}^4}}\\\\{}& = &{ – \\frac{{16}}{{81}}}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{\\left( { – 4} \\right)}^6} \\div {2^6}}& = &{{{\\left( { – 4 \\div 2} \\right)}^6}}\\\\{}& = &{{{\\left( { – 2} \\right)}^6}}\\\\{}& = &{64}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{\\left( { – \\frac{1}{2}} \\right) \\div {{\\left( { – \\frac{1}{3}} \\right)}^4}}& = &{ – \\frac{1}{2} \\div \\frac{1}{{81}}}\\\\{}& = &{ – \\frac{1}{2} \\times \\frac{{81}}{1}}\\\\{}& = &{ – \\frac{{81}}{2}}\\end{array}\\]<\/td>\n<\/tr>\n
\\[\\begin{array}{*{20}{l}}{{2^3} \\times {{\\left( { – 2} \\right)}^{ – 4}}}& = &{{2^3} \\times {{\\left( { + 2} \\right)}^{ – 4}}}\\\\{}& = &{{2^{3 + \\left( { – 4} \\right)}}}\\\\{}& = &{{2^{ – 1}}}\\\\{}& = &{\\frac{1}{2}}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{\\left( { – 3} \\right)}^5} \\div {3^5}}& = &{ – \\left( {{{\\left( { + 3} \\right)}^5} \\div {3^5}} \\right)}\\\\{}& = &{ – \\left( {{3^{5 – 5}}} \\right)}\\\\{}& = &{ – {3^0}}\\\\{}& = &{ – 1}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{\\left( { – 1} \\right)}^{102}}}& = &{{1^{102}}}\\\\{}& = &1\\end{array}\\]<\/td>\n<\/tr>\n
\\[\\begin{array}{*{20}{l}}{{2^3} + {2^4}}& = &{8 + 16}\\\\{}& = &{24}\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{3^{ – 2}} – {{\\left( { – 3} \\right)}^{ – 2}}}& = &{{{\\left( {\\frac{1}{3}} \\right)}^2} – {{\\left( { – \\frac{1}{3}} \\right)}^2}}\\\\{}& = &{\\frac{1}{9} – \\frac{1}{9}}\\\\{}& = &0\\end{array}\\]<\/td>\n	\\[\\begin{array}{*{20}{l}}{{{\\left( { – 2} \\right)}^2} + {{\\left( { – 3} \\right)}^2}}& = &{4 + 9}\\\\{}& = &{13}\\end{array}\\]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u00a0<\/p>\n << Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":" Enunciado Resolu\u00e7\u00e3o Enunciado Aplicando, sempre que poss\u00edvel, as regras da multiplica\u00e7\u00e3o e da divis\u00e3o de pot\u00eancias, determina o valor das express\u00f5es num\u00e9ricas seguintes: \\[{{2^3} \\times {{( – 3)}^3}}\\] \\[{{{\\left( { – 2} \\right)}^2} \\times...<\/p>\n","protected":false},"author":1,"featured_media":19180,"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-22553","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":266,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat71.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22553","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=22553"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22553\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19180"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22553"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}