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[tex]\sqrt[3]{3^3\cdot2^6}=\sqrt[3]{3^3}\cdot\sqrt[3]{2^6}=3\cdot2^2=3\cdot4=12\\\\\sqrt[3]{-64 \ 000}=\sqrt[3]{(-40)^3}=-40\\\\\sqrt[3]{-\frac{8}{27}}=-\frac{\sqrt[3]{8}}{\sqrt[3]{27}}=-\frac{\sqrt[3]{2^3}}{\sqrt[3]{3^3}}=-\frac{2}{3}\\\\\sqrt[3]{-42\frac{7}{8}}=\sqrt[3]{-\frac{343}{8}}=-\frac{\sqrt[3]{343}}{\sqrt[3]8}=-\frac{\sqrt[3]{7^3}}{\sqrt[3]{2^3}}=-\frac{7}{3}=-2\frac{1}{3}\\\\\sqrt[3]{9\sqrt[3]{27}}=\sqrt[3]{9\cdot\sqrt[3]{3^3}}=\sqrt[3]{9\cdot3}=\sqrt[3]{3^2\cdot3}=\sqrt[3]{3^3}=3[/tex]
[tex]\sqrt[3]{2\frac{93}{125}}=\sqrt[3]{\frac{343}{125}}=\frac{\sqrt[3]{343}}{\sqrt[3]{125}}=\frac{\sqrt[3]{7^3}}{\sqrt[3]{5^3}}=\frac{7}{5}=1\frac{2}{5}[/tex]
