Question

Qual a resposta de Raiz sexta de 16 ao quadrado sobre 32 ?? Alguem me ajudaaaaa Por favor !!!!!!!

Answer 1

$\frac{(\sqrt[6]{2^4})^2}{2^5} = \frac{\sqrt[6]{2^{4\cdot2}}}{2^5} =\frac{\sqrt[6]{2^8}}{2^5} =\frac{2^{ \frac{8}{6} }}{2^5} =2^{ \frac{8}{6}-5}=2^{\frac{8}{6}-\frac{30}{6}}=2^{\frac{8-30}{6}}\\ \\=2^{ -\frac{22^{:2}}{6_{:2}}}=2^ {-\frac{11}{3}}$

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$\sqrt[6]{ \frac{16^2}{32} } =\sqrt[6]{ \frac{(2^4)^2}{2^5}} =\sqrt[6]{ \frac{2^{4\cdot2}}{2^5}} =\sqrt[6]{ \frac{2^8}{2^5}} =\sqrt[6]{ 2^{8-5}}=\sqrt[6]{2^3} =\sqrt[6{:3}]{ 2^{3{:3}}} = \sqrt{2}$