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\left(\frac{1}{5^{2}}\right)^{2}
Rewrite 5^{6} as 5^{4}\times 5^{2}. Cancel out 5^{4} in both numerator and denominator.
\left(\frac{1}{25}\right)^{2}
Calculate 5 to the power of 2 and get 25.
\frac{1}{625}
Calculate \frac{1}{25} to the power of 2 and get \frac{1}{625}.