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\left(\frac{1}{7^{4}}\right)^{2}
Rewrite 7^{2} as 7^{-2}\times 7^{4}. Cancel out 7^{-2} in both numerator and denominator.
\left(\frac{1}{2401}\right)^{2}
Calculate 7 to the power of 4 and get 2401.
\frac{1}{5764801}
Calculate \frac{1}{2401} to the power of 2 and get \frac{1}{5764801}.