Solve (-4a^-1 b^-3)^3

Evaluate

(- 4 a^{- 1} b^{- 3})^{3}

Determine the sign

- (4 a^{- 1} b^{- 3})^{3}

To raise a product to a power,raise each factor to that power

- 4^{3} (a^{- 1})^{3} (b^{- 3})^{3}

Evaluate the power

- 64 (a^{- 1})^{3} (b^{- 3})^{3}

Evaluate the power

- 64 a^{- 3} (b^{- 3})^{3}

Evaluate the power

More Steps

- 64 a^{- 3} b^{- 9}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

- 64 \times \frac{1}{a ^{3}} \times b^{- 9}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

- 64 \times \frac{1}{a ^{3}} \times \frac{1}{b ^{9}}

Rewrite the expression

\frac{- 64}{a ^{3} b ^{9}}

Solution

- \frac{64}{a ^{3} b ^{9}}

Simplify the expression