Question

Urgente!! É para agora​

Answer 1

Resposta:

$a)\\ \\ \sqrt[3]{8^{2} } =\sqrt[3]{8.8} =\sqrt[3]{64} =\sqrt[3]{4^{3} } =4\\ \\ (\sqrt[3]{8^{2} } )^{2} =(\sqrt[3]{2^{3}*2^{3} } )^{2}=(\sqrt[3]{8} *\sqrt[3]{8} )^{2} =(2*2)^{2} =4^{2} =16$

$b)\\ \\ \sqrt[3]{27^{2} } =\sqrt[3]{27}* \sqrt[3]{27} =3*3=9\\ \\ (\sqrt[3]{27} )^{2} =(\sqrt[3]{3^{3} })^{2} =3^{2} =9$

$c)\\ \\ \sqrt[4]{4^{6} } =\sqrt[4]{4^{4}* 4^{2} } =\sqrt[4]{4^{4} } *\sqrt[4]{4^{2} } =1*\sqrt{4} =2\\ \\ \sqrt[2]{4^{3} } =\sqrt[2]{4^{2} } *\sqrt[2]{4^{1} } =4*2=8\\ \\ d)\\ \\ \sqrt[12]{8^{4} }=\sqrt[12:4]{8} =\sqrt[3]{8} =2\\ \\ \sqrt[3]{8} =\sqrt[3]{2^{3} } =2$

$e)\sqrt[3]{\sqrt[2]{64} } =\sqrt[3]{8} =\sqrt[3]{2^{3} } =2\\ \\ \sqrt[6]{64} =\sqrt[6]{2^{6} } =2\\ \\ f)\\ \\ \sqrt[3]{\sqrt[3]{512} } =\sqrt[3]{\sqrt[3]{8^{3} } } =\sqrt[3]{8} =2\\ \\ \sqrt[9]{512} =\sqrt[9]{2^{9} } =2$