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Popular >

factor (1/2)^{-4}

Solution

factor

(\frac{1}{2})^{- 4}

Solution

16

Solution steps

(\frac{1}{2})^{- 4}

Apply exponent rule:

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

= \frac{1}{( \frac{1}{2} ) ^{4}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{2})^{4} = \frac{1 ^{4}}{2 ^{4}}

= \frac{1}{\frac{1 ^{4}}{2 ^{4}}}

Apply the fraction rule:

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

= \frac{2 ^{4}}{1 ^{4}}

Apply rule

1^{a} = 1

1^{4} = 1

= \frac{2 ^{4}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 2^{4}

2^{4} = 16

= 16

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Frequently Asked Questions (FAQ)

What is factor (1/2)^{-4} ?
The solution to factor (1/2)^{-4} is 16