What is (6cd^{-1})^{-3} ?

The solution to (6cd^{-1})^{-3} is (d^3)/(216c^3)

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simplify (6cd^{-1})^{-3}

simplify

(6 c d^{- 1})^{- 3}

\frac{d ^{3}}{216 c ^{3}}

Solution steps

(6 c d^{- 1})^{- 3}

Apply exponent rule:

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

(6 c d^{- 1})^{- 3} = \frac{1}{( 6 c d ^{- 1} ) ^{3}}

= \frac{1}{( 6 c d ^{- 1} ) ^{3}}

Simplify

(6 c d^{- 1})^{3} : \frac{216 c ^{3}}{d ^{3}}

= \frac{1}{\frac{216 c ^{3}}{d ^{3}}}

Apply the fraction rule:

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

= \frac{d ^{3}}{216 c ^{3}}

6216

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