[tex] \sqrt[6]{64} * \sqrt[3]{64} [/tex] [tex] \frac{ \sqrt[3]{6}* \sqrt[3]{12} }{ \sqrt[3]{9} } [/tex]. Created by dgigit. algebra-ru

tex]...

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[tex] \sqrt[6]{64} * \sqrt[3]{64} [/tex]

[tex] \frac{ \sqrt[3]{6}* \sqrt[3]{12} }{ \sqrt[3]{9} } [/tex]

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NNNLLL54

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$\sqrt[6]{64} \cdot \sqrt[3]{64} =\sqrt[3]{\sqrt{64}}\cdot \sqrt[3]{64}=\sqrt[3]8\cdot \sqrt[3]{4^3}=\sqrt[3]{2^3}\cdot 4=2\cdot 4=8\\\\ili\\\\\sqrt[6]{64}\cdot \sqrt[3]{64}=\sqrt[6]{64}\cdot \sqrt[6]{64^2}=\sqrt[6]{64\cdot 64^2}=\sqrt[6]{64^3}=\sqrt{64}=8\\\\ \frac{\sqrt[3]{6}\cdot \sqrt[3]{12}}{\sqrt[3]9}= \sqrt[3]{\frac{6\cdot 12}{9} }=\sqrt[3]{8}=\sqrt[3]{2^3}=2$

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