[tex]$\frac{\sqrt[3]{10}\cdot \sqrt[3]{16}}{\sqrt[3]{5}}=\frac{2^{1/3}\cdot 5^{1/3}\cdot 2^{1/3}\cdot 8^{1/3}}{5^{1/3}}=2^{1/3}\cdot 2^{1/3}\cdot 2^{3/3}=2^{1/3+1/3+1}=2^{5/3}$[/tex]
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[tex]$\frac{\sqrt[3]{10}\cdot \sqrt[3]{16}}{\sqrt[3]{5}}=\frac{2^{1/3}\cdot 5^{1/3}\cdot 2^{1/3}\cdot 8^{1/3}}{5^{1/3}}=2^{1/3}\cdot 2^{1/3}\cdot 2^{3/3}=2^{1/3+1/3+1}=2^{5/3}$[/tex]