Answer
$\dfrac{9}{x^{8}}$
Work Step by Step
Using the laws of exponents, the given expression, $
(3x^{-4})^{2}
$, is equivalent to
\begin{array}{l}
3^{2}x^{-4(2)}
\\\\=
9x^{-8}
\\\\=
\dfrac{9}{x^{8}}
.\end{array}
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