Answer
$\frac{8}{125}$
Work Step by Step
$(\frac{4}{25})^{\frac{3}{2}}=((\frac{2}{5})^2)^{\frac{3}{2}}=(\frac{2}{5}))^{2\cdot\frac{3}{2}}=(\frac{2}{5}))^3=\frac{8}{125}$
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