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Popular >

simplify (5^{-1})^2

Solution

simplify

(5^{- 1})^{2}

Solution

\frac{1}{25}

+1

Decimal Notation

0.04

Solution steps

(5^{- 1})^{2}

Apply exponent rule:

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

= 5^{- 1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= 5^{- 2}

Apply exponent rule:

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

5^{- 2} = \frac{1}{5 ^{2}}

= \frac{1}{5 ^{2}}

5^{2} = 25

= \frac{1}{25}

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Frequently Asked Questions (FAQ)

What is (5^{-1})^2 ?
The solution to (5^{-1})^2 is 1/25