What is ((m^3)/(4c^5))^{-4} ?

The solution to ((m^3)/(4c^5))^{-4} is (256c^{20})/(m^{12)}

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

simplify

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

\frac{256 c ^{20}}{m ^{12}}

Solution steps

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

Apply exponent rule:

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

(\frac{m ^{3}}{4 c ^{5}})^{- 4} = \frac{1}{( \frac{m ^{3}}{4 c ^{5}} ) ^{4}}

= \frac{1}{( \frac{m ^{3}}{4 c ^{5}} ) ^{4}}

Simplify

(\frac{m ^{3}}{4 c ^{5}})^{4} : \frac{m ^{12}}{256 c ^{20}}

= \frac{1}{\frac{m ^{12}}{256 c ^{20}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{256 c ^{20}}{m ^{12}}

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What is ((m^3)/(4c^5))^{-4} ?
The solution to ((m^3)/(4c^5))^{-4} is (256c^{20})/(m^{12)}