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\left(\left(\frac{1}{5}\right)^{7}\right)^{\frac{2}{7}}
To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.
\left(\frac{1}{78125}\right)^{\frac{2}{7}}
Calculate \frac{1}{5} to the power of 7 and get \frac{1}{78125}.
\frac{1}{25}
Calculate \frac{1}{78125} to the power of \frac{2}{7} and get \frac{1}{25}.