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Popular >

simplify sqrt([(0.5)^{-1)]^{-2}}

Solution

simplify

[(0.5)^{- 1}]^{- 2}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

(0. 5^{- 1})^{- 2}

(0. 5^{- 1})^{- 2} = 0.25

= 0.25

0.25 = \frac{1}{4}

= \frac{1}{4}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{1}{4}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{4}

4 = 2

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is sqrt([(0.5)^{-1)]^{-2}} ?
The solution to sqrt([(0.5)^{-1)]^{-2}} is 1/2