Further practice simplifying higher-order roots of fractions by first reducing them.

ⓐ $\sqrt[3]{\frac{24}{375}}$: Rewrite showing common factors: $\sqrt[3]{\frac{3 \cdot 8}{3 \cdot 125}}$. Cancel the $3$ to obtain $\sqrt[3]{\frac{8}{125}}$. Because $\left(\frac{2}{5}\right)^3 = \frac{8}{125}$, the root evaluates to $\frac{2}{5}$.

ⓑ $\sqrt[4]{\frac{4}{324}}$: Rewrite showing common factors: $\sqrt[4]{\frac{4 \cdot 1}{4 \cdot 81}}$. Cancel the $4$ to obtain $\sqrt[4]{\frac{1}{81}}$. Because $\left(\frac{1}{3}\right)^4 = \frac{1}{81}$, the root evaluates to $\frac{1}{3}$.