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Popular >

expand (1/2)^{-3}

Solution

expand

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

Solution

8

Solution steps

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

Apply exponent rule:

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

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

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

= \frac{1}{\frac{1}{2 ^{3}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{2 ^{3}}{1}

Apply rule

\frac{a}{1} = a

= 2^{3}

2^{3} = 8

= 8

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Frequently Asked Questions (FAQ)

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