Question

Simplify: $\sqrt[3]{3\frac{216}{1331}}$

Answer 1

$\sqrt[3]{3\frac{216}{1331}}$

= $\sqrt[3]{3\frac{6\times 6\times 6}{11\times 11\times 11}}$

$=\sqrt[3]{3\frac{6^3}{{11}^3}}$

$=\sqrt[3]{3{\left(\frac{6}{11}\right)}^3}\{\frac{a^m}{b^m}={\left(\frac{a}{b}\right)}^m\}$

$=\frac{6}{11}$