Answer
$\dfrac{16p^2}{25q^{6}}$
Work Step by Step
Using the laws of exponents, the given expression, $
\left(\dfrac{4p}{5q^3}\right)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{4^2p^2}{5^2q^{3(2)}}
\\\\=
\dfrac{16p^2}{25q^{6}}
.\end{array}
