Answer
$\dfrac{x^{14}y^{14}}{a^{21}}
$
Work Step by Step
Using laws of exponents, the given expression simpifies to
\begin{align*}
&
\left( \dfrac{x^{-2}y^{-2}}{a^{-3}} \right)^{-7}
\\\\&=
\dfrac{x^{-2(-7)}y^{-2(-7)}}{a^{-3(-7)}}
\\\\&=
\dfrac{x^{14}y^{14}}{a^{21}}
.\end{align*}