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Popular >

simplify ((-4m^2)/n)^3

Solution

simplify

(\frac{- 4 m ^{2}}{n})^{3}

Solution

- \frac{64 m ^{6}}{n ^{3}}

Solution steps

(\frac{- 4 m ^{2}}{n})^{3}

Apply exponent rule:

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

= \frac{( - 4 m ^{2} ) ^{3}}{n ^{3}}

Simplify

(- 4 m^{2})^{3} : - 64 m^{6}

= \frac{- 64 m ^{6}}{n ^{3}}

Apply the fraction rule:

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

= - \frac{64 m ^{6}}{n ^{3}}

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Frequently Asked Questions (FAQ)

What is ((-4m^2)/n)^3 ?
The solution to ((-4m^2)/n)^3 is -(64m^6)/(n^3)