Answer
$\frac{1}{4y^{2}}$
Work Step by Step
$(\frac{2y^{4}}{y^{3}})^{-2}=(\frac{2y^{3}\cdot y^{1}}{y^{3}})^{-2}$
$=(2y)^{-2}=\frac{1}{(2y)^{2}}=\frac{1}{4y^{2}}$
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