Solve (-2a^2*2a^-3 b^-3)^3 / (2b^3)(-2a^4 b^3)

Evaluate

\frac{( - 2 a ^{2} \times 2 a ^{- 3} b ^{- 3} ) ^{3}}{2 b ^{3}} \times (- 2 a^{4} b^{3})

Multiply

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\frac{( - 4 a ^{- 1} b ^{- 3} ) ^{3}}{2 b ^{3}} \times (- 2 a^{4} b^{3})

Divide the terms

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- \frac{32 a ^{- 3}}{b ^{12}} \times (- 2 a^{4} b^{3})

Multiplying or dividing an even number of negative terms equals a positive

\frac{32 a ^{- 3}}{b ^{12}} \times 2 a^{4} b^{3}

Cancel out the common factor b^{3}

\frac{32 a ^{- 3}}{b ^{9}} \times 2 a^{4}

Multiply the terms

\frac{32 a ^{- 3} \times 2 a ^{4}}{b ^{9}}

Solution

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\frac{64 a}{b ^{9}}

Simplify the expression