Practice simplifying higher-order roots of fractions by first canceling common factors to find a perfect power fraction.

ⓐ $\sqrt[3]{\frac{54}{250}}$: Factor the numerator and denominator to reveal common factors: $\sqrt[3]{\frac{2 \cdot 27}{2 \cdot 125}}$. Remove the common factor of $2$ to get $\sqrt[3]{\frac{27}{125}}$. Since $\left(\frac{3}{5}\right)^3 = \frac{27}{125}$, the result is $\frac{3}{5}$.

ⓑ $\sqrt[4]{\frac{32}{162}}$: Factor to reveal common factors: $\sqrt[4]{\frac{2 \cdot 16}{2 \cdot 81}}$. Remove the common factor of $2$ to obtain $\sqrt[4]{\frac{16}{81}}$. Since $\left(\frac{2}{3}\right)^4 = \frac{16}{81}$, the result is $\frac{2}{3}$.