Answer
$\frac{3}{10}$
Work Step by Step
Use the definition of negative exponents.
$5^{-1}+10^{-1}=\frac{1}{5}+\frac{1}{10}=\frac{1\times2}{5\times2}+\frac{1}{10}=\frac{2}{10}+\frac{1}{10}=\frac{3}{10}$
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