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Popular >

simplify ((-4m)^3)/(10m^{-5)}

Solution

simplify

\frac{( - 4 m ) ^{3}}{10 m ^{- 5}}

Solution

- \frac{32 m ^{8}}{5}

Solution steps

\frac{( - 4 m ) ^{3}}{10 m ^{- 5}}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 4 m)^{3} = - (4 m)^{3}

= \frac{- ( 4 m ) ^{3}}{10 m ^{- 5}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 m)^{3} = 4^{3} m^{3}

= \frac{- 4 ^{3} m ^{3}}{10 m ^{- 5}}

Factor

4^{3} : 2^{6}

= \frac{- 2 ^{6} m ^{3}}{10 m ^{- 5}}

Factor the number:

10 = 2 \cdot 5

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

\frac{2 ^{6}}{2} = 2^{5}

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

Simplify

\frac{m ^{3}}{m ^{- 5}} : m^{8}

= \frac{- 2 ^{5} m ^{8}}{5}

Simplify

\frac{- 2 ^{5} m ^{8}}{5} : - \frac{32 m ^{8}}{5}

= - \frac{32 m ^{8}}{5}

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Frequently Asked Questions (FAQ)

What is ((-4m)^3)/(10m^{-5)} ?
The solution to ((-4m)^3)/(10m^{-5)} is -(32m^8)/5