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\left(\frac{1}{2}+5^{-1}\right)^{-1}
Calculate 2 to the power of -1 and get \frac{1}{2}.
\left(\frac{1}{2}+\frac{1}{5}\right)^{-1}
Calculate 5 to the power of -1 and get \frac{1}{5}.
\left(\frac{7}{10}\right)^{-1}
Add \frac{1}{2} and \frac{1}{5} to get \frac{7}{10}.
\frac{10}{7}
Calculate \frac{7}{10} to the power of -1 and get \frac{10}{7}.