Solve ( (3x^(4))/y^(-5) )^(-3)

Evaluate

(\frac{3 x ^{4}}{y ^{- 5}})^{- 3}

Rewrite the expression

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(3 x^{4} y^{5})^{- 3}

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

3^{- 3} (x^{4})^{- 3} (y^{5})^{- 3}

Evaluate the power

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\frac{1}{27} (x^{4})^{- 3} (y^{5})^{- 3}

Evaluate the power

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\frac{1}{27} x^{- 12} (y^{5})^{- 3}

Evaluate the power

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\frac{1}{27} x^{- 12} y^{- 15}

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

\frac{1}{27} \times \frac{1}{x ^{12}} \times y^{- 15}

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

\frac{1}{27} \times \frac{1}{x ^{12}} \times \frac{1}{y ^{15}}

Solution

\frac{1}{27 x ^{12} y ^{15}}

Simplify the expression