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Popular >

simplify (-3m^4n^{-2})^{-3}

Solution

simplify

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

Solution

- \frac{n ^{6}}{27 m ^{12}}

Solution steps

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

Apply exponent rule:

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

(- 3 m^{4} n^{- 2})^{- 3} = \frac{1}{( - 3 m ^{4} n ^{- 2} ) ^{3}}

= \frac{1}{( - 3 m ^{4} n ^{- 2} ) ^{3}}

Simplify

(- 3 m^{4} n^{- 2})^{3} : - \frac{27 m ^{12}}{n ^{6}}

= \frac{1}{- \frac{27 m ^{12}}{n ^{6}}}

Simplify

\frac{1}{- \frac{27 m ^{12}}{n ^{6}}} : - \frac{n ^{6}}{27 m ^{12}}

= - \frac{n ^{6}}{27 m ^{12}}

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Frequently Asked Questions (FAQ)

What is (-3m^4n^{-2})^{-3} ?
The solution to (-3m^4n^{-2})^{-3} is -(n^6)/(27m^{12)}