What is ((m^{-1}m^5)/(m^{-2)})^{-3} ?

The solution to ((m^{-1}m^5)/(m^{-2)})^{-3} is 1/(m^{18)}

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simplify ((m^{-1}m^5)/(m^{-2)})^{-3}

simplify

(\frac{m ^{- 1} m ^{5}}{m ^{- 2}})^{- 3}

\frac{1}{m ^{18}}

Solution steps

(\frac{m ^{- 1} m ^{5}}{m ^{- 2}})^{- 3}

Apply exponent rule:

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

(\frac{m ^{- 1} m ^{5}}{m ^{- 2}})^{- 3} = \frac{1}{( \frac{m ^{- 1} m ^{5}}{m ^{- 2}} ) ^{3}}

= \frac{1}{( \frac{m ^{- 1} m ^{5}}{m ^{- 2}} ) ^{3}}

Simplify

(\frac{m ^{- 1} m ^{5}}{m ^{- 2}})^{3} : m^{18}

= \frac{1}{m ^{18}}

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What is ((m^{-1}m^5)/(m^{-2)})^{-3} ?
The solution to ((m^{-1}m^5)/(m^{-2)})^{-3} is 1/(m^{18)}