#### Answer

$\dfrac{8m^{9}n^3}{p^{6}}$

#### Work Step by Step

Use the laws of exponents to simplify the given expression, $
\left( \dfrac{2m^3n}{p^2}\right)^3
.$
Using the extended Power Rule of the laws of exponents which states that $\left( \dfrac{x^my^n}{z^p} \right)^q=\dfrac{x^{mq}y^{nq}}{z^{pq}},$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{2^3m^{3(3)}n^3}{p^{2(3)}}
\\\\=
\dfrac{2^3m^{9}n^3}{p^{6}}
\\\\=
\dfrac{8m^{9}n^3}{p^{6}}
.\end{array}