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Popular >

simplify (5^{-2})^2

Solution

simplify

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

Solution

\frac{1}{625}

+1

Solution steps

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

Apply exponent rule:

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

= 5^{- 2 \cdot 2}

Multiply the numbers:

2 \cdot 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