Answer
$\frac{3}{14}$
Work Step by Step
Use the definition of negative exponents.
$7^{-1}+14^{-1}=\frac{1}{7}+\frac{1}{14}=\frac{1\times2}{7\times2}+\frac{1}{14}=\frac{2}{14}+\frac{1}{14}=\frac{3}{14}$
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