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