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

Using the properties of radicals, the expression, $\sqrt[4]{\dfrac{16a^6}{a^2}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[4]{16a^{6-2}} \\\\= \sqrt[4]{16a^{4}} \\\\= \sqrt[4]{(2a)^4} \\\\= 2a .\end{array} Note that the variable/s is/are assumed to be positive. Hence, $\text{ Choice F .}$