Answer
$\dfrac{9p^{8}}{q^{10}}$
Work Step by Step
Using laws of exponents, the expression $
\left(\dfrac{3p^4}{q^5}\right)^2
$ simplifies to
\begin{array}{l}
\dfrac{3^2p^{4(2)}}{q^{5(2)}}
\\\\=
\dfrac{9p^{8}}{q^{10}}
.\end{array}
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