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Popular >

expand (1/2)^{-2}

Solution

expand

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

Solution

4

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply the fraction rule:

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

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

Apply rule

\frac{a}{1} = a

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

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