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

The solution to (-2m^2n^6)/(-3mn^6) is (2m)/3

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

simplify

\frac{- 2 m ^{2} n ^{6}}{- 3 m n ^{6}}

\frac{2 m}{3}

Solution steps

\frac{- 2 m ^{2} n ^{6}}{- 3 m n ^{6}}

Apply the fraction rule:

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

= \frac{2 m ^{2} n ^{6}}{3 m n ^{6}}

Cancel the common factor:

n^{6}

= \frac{2 m ^{2}}{3 m}

Simplify

\frac{m ^{2}}{m} : m

= \frac{2 m}{3}

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