What is (-10m^2n)/(2m^3n^{-5)} ?

The solution to (-10m^2n)/(2m^3n^{-5)} is -(5n^6)/m

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simplify (-10m^2n)/(2m^3n^{-5)}

simplify

\frac{- 10 m ^{2} n}{2 m ^{3} n ^{- 5}}

- \frac{5 n ^{6}}{m}

Solution steps

\frac{- 10 m ^{2} n}{2 m ^{3} n ^{- 5}}

Factor the number:

10 = 2 \cdot 5

= \frac{- 2 \cdot 5 m ^{2} n}{2 m ^{3} n ^{- 5}}

Cancel the common factor:

2

= \frac{- 5 m ^{2} n}{m ^{3} n ^{- 5}}

Simplify

\frac{n}{n ^{- 5}} : n^{6}

= \frac{- 5 m ^{2} n ^{6}}{m ^{3}}

Simplify

\frac{m ^{2}}{m ^{3}} : \frac{1}{m}

= \frac{- 5 n ^{6}}{m}

Apply the fraction rule:

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

= - \frac{5 n ^{6}}{m}

8^{2} + 6^{2}

p^{2} - 8 p - 60 = 5

1 \leq - 4 x + 13 \leq 7

3 x^{2} + 18 x = - 12

\frac{9}{5} - 1

What is (-10m^2n)/(2m^3n^{-5)} ?
The solution to (-10m^2n)/(2m^3n^{-5)} is -(5n^6)/m