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Popular >

simplify (5^{-2})^{-2}

Solution

simplify

(5^{- 2})^{- 2}

Solution

625

Solution steps

(5^{- 2})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 5^{- 2 (- 2)}

- 2 (- 2) = 4

= 5^{4}

5^{4} = 625

= 625

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Frequently Asked Questions (FAQ)

What is (5^{-2})^{-2} ?
The solution to (5^{-2})^{-2} is 625