## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Multiplying both the numerator and denominator by $b ,$ the given expression, $\sqrt[5]{\dfrac{a^6}{b^4}} ,$ is equivalent to \begin{array}{l}\require{cancel} \sqrt[5]{\dfrac{a^6}{b^4}} \\\\= \sqrt[5]{\dfrac{a^6}{b^4}\dfrac{b}{b}} \\\\= \sqrt[5]{\dfrac{a^6b}{b^4\cdot b}} .\end{array} Hence, $\text{ Choice E .}$