Solve (( 1/3 )^(-3)c^(-3)d^(3))/(( 3/2 )^(-1)(c^(-1)d

Evaluate

\frac{( \frac{1}{3} ) ^{- 3} c ^{- 3} d ^{3}}{( \frac{3}{2} ) ^{- 1} ( c ^{- 1} d ^{- 1} ) ^{- 1}}

Multiply the terms

More Steps

\frac{27 c ^{- 3} d ^{3}}{( \frac{3}{2} ) ^{- 1} ( c ^{- 1} d ^{- 1} ) ^{- 1}}

Multiply the terms

\frac{27 c ^{- 3} d ^{3}}{\frac{2}{3} c d}

Rewrite the expression

More Steps

\frac{\frac{27 d ^{3}}{c ^{3}}}{\frac{2}{3} c d}

Rewrite the expression

\frac{\frac{27 d ^{3}}{c ^{3}}}{\frac{2 c d}{3}}

Multiply by the reciprocal

\frac{27 d ^{3}}{c ^{3}} \times \frac{3}{2 c d}

Cancel out the common factor d

\frac{27 d ^{2}}{c ^{3}} \times \frac{3}{2 c}

Multiply the terms

\frac{27 d ^{2} \times 3}{c ^{3} \times 2 c}

Multiply the terms

\frac{81 d ^{2}}{c ^{3} \times 2 c}

Solution

More Steps

\frac{81 d ^{2}}{2 c ^{4}}

Simplify the expression