Answer
$\frac{5}{16}$
Work Step by Step
$4^{-1}+4^{-2}=\frac{1}{4}+\frac{1}{4^2}=\frac{1}{4}+\frac{1}{16}=\frac{1\times4}{4\times4}+\frac{1}{16}=\frac{4}{16}+\frac{1}{16}=\frac{5}{16}$
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