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