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Popular >

simplify [(2)^2]^{-1}

Solution

simplify

[(2)^{2}]^{- 1}

Solution

\frac{1}{4}

+1

Decimal

0.25

Solution steps

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

Apply exponent rule:

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

= 2^{2 (- 1)}

2 (- 1) = - 2

= 2^{- 2}

Apply exponent rule:

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

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

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

2^{2} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is [(2)^2]^{-1} ?
The solution to [(2)^2]^{-1} is 1/4