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Popular >

simplify (5^2)^{-2}

Solution

simplify

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

Solution

\frac{1}{625}

+1

Decimal Notation

0.0016

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}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

5^{- 4} = \frac{1}{5 ^{4}}

= \frac{1}{5 ^{4}}

5^{4} = 625

= \frac{1}{625}

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Frequently Asked Questions (FAQ)

What is (5^2)^{-2} ?
The solution to (5^2)^{-2} is 1/625