What is ((-2mn^2)^{-3})/(4m^{-6)n^4} ?

The solution to ((-2mn^2)^{-3})/(4m^{-6)n^4} is -(m^3)/(32n^{10)}

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simplify ((-2mn^2)^{-3})/(4m^{-6)n^4}

simplify

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

- \frac{m ^{3}}{32 n ^{10}}

Solution steps

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

Simplify

(- 2 m n^{2})^{- 3} : - \frac{1}{8 m ^{3} n ^{6}}

= \frac{- \frac{1}{8 m ^{3} n ^{6}}}{4 m ^{- 6} n ^{4}}

Simplify

4 m^{- 6} n^{4} : \frac{4 n ^{4}}{m ^{6}}

= \frac{- \frac{1}{8 m ^{3} n ^{6}}}{\frac{4 n ^{4}}{m ^{6}}}

Apply the fraction rule:

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

= - \frac{\frac{1}{8 m ^{3} n ^{6}}}{\frac{4 n ^{4}}{m ^{6}}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

\frac{\frac{1}{8 m ^{3} n ^{6}}}{\frac{4 n ^{4}}{m ^{6}}} = \frac{1 \cdot m ^{6}}{8 m ^{3} n ^{6} \cdot 4 n ^{4}}

= - \frac{1 \cdot m ^{6}}{8 m ^{3} n ^{6} \cdot 4 n ^{4}}

Cancel

- \frac{1 \cdot m ^{6}}{8 m ^{3} n ^{6} \cdot 4 n ^{4}} : - \frac{m ^{3}}{32 n ^{10}}

= - \frac{m ^{3}}{32 n ^{10}}

2 < 1 - 4 x \leq 8

\frac{4}{5} + 3

3 x + 2 = 32

8 x^{2} + 3 = 10 x

\frac{g}{2.1} = - 6.8

What is ((-2mn^2)^{-3})/(4m^{-6)n^4} ?
The solution to ((-2mn^2)^{-3})/(4m^{-6)n^4} is -(m^3)/(32n^{10)}