Answer
$\frac{1}{16}$
Work Step by Step
Step 1: $64^{-\frac{2}{3}}$
Step 2: $\frac{1}{64^{\frac{2}{3}}}$
Step 3: $\frac{1}{(4^{3})^{\frac{2}{3}}}$
Step 4: $\frac{1}{4^{2}}$
Step 5: $\frac{1}{16}$
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