Simplify (1/(25^-1))^2

${(\frac{1}{25^{- 1}})}^{2}$

Move $25^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$25^{2}$

Raise $25$ to the power of $2$ .

$625$

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