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Popular >

simplify (1/(4m))^{-3}

Solution

simplify

(\frac{1}{4 m})^{- 3}

Solution

64 m^{3}

Solution steps

(\frac{1}{4 m})^{- 3}

Apply exponent rule:

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

(\frac{1}{4 m})^{- 3} = \frac{1}{( \frac{1}{4 m} ) ^{3}}

= \frac{1}{( \frac{1}{4 m} ) ^{3}}

Simplify

(\frac{1}{4 m})^{3} : \frac{1}{64 m ^{3}}

= \frac{1}{\frac{1}{64 m ^{3}}}

Simplify

\frac{1}{\frac{1}{64 m ^{3}}} : 64 m^{3}

= 64 m^{3}

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Frequently Asked Questions (FAQ)

What is (1/(4m))^{-3} ?
The solution to (1/(4m))^{-3} is 64m^3