Answer
$\dfrac{1}{9n^4}$
Work Step by Step
Using the laws of exponents, the given expression, $
(3n^2)^{-2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{1}{(3n^2)^2}
\\\\=
\dfrac{1}{3^2n^{2(2)}}
\\\\=
\dfrac{1}{9n^4}
.\end{array}