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\left(\frac{1}{5}\right)^{2}+\left(\frac{1}{5}\right)^{-2}
To multiply powers of the same base, add their exponents. Add -2 and 4 to get 2.
\frac{1}{25}+\left(\frac{1}{5}\right)^{-2}
Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.
\frac{1}{25}+25
Calculate \frac{1}{5} to the power of -2 and get 25.
\frac{626}{25}
Add \frac{1}{25} and 25 to get \frac{626}{25}.