Answer
$\frac{y^8}{16x^{12}}$
Work Step by Step
$(-2x^3y^{-2})^{-4}$
$=(-2)^{-4}(x^3)^{-4}(y^{-2})^{-4}$
$=\frac{1}{16} \times \frac{1}{x^{12}}\times y^8$
$=\frac{y^8}{16x^{12}}$
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