Answer
$\dfrac{8}{x^{6}}$
Work Step by Step
Using the laws of exponents, the given expression, $
\left( \dfrac{x^2}{2} \right)^{-3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{x^{2(-3)}}{2^{-3}}
\\\\=
\dfrac{x^{-6}}{2^{-3}}
\\\\=
\dfrac{2^{3}}{x^{6}}
\\\\=
\dfrac{8}{x^{6}}
.\end{array}