Answer
Choice F
Work Step by Step
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, $\text{
Choice F
.}$
