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