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Popular >

simplify (1-1/2)^{-3}

Solution

simplify

(1 - \frac{1}{2})^{- 3}

Solution

8

Solution steps

(1 - \frac{1}{2})^{- 3}

Apply exponent rule:

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

(1 - \frac{1}{2})^{- 3} = \frac{1}{( 1 - \frac{1}{2} ) ^{3}}

= \frac{1}{( 1 - \frac{1}{2} ) ^{3}}

(1 - \frac{1}{2})^{3} = \frac{1}{8}

= \frac{1}{\frac{1}{8}}

\frac{1}{\frac{1}{8}} = 8

= 8

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Frequently Asked Questions (FAQ)

What is (1-1/2)^{-3} ?
The solution to (1-1/2)^{-3} is 8