Solve (x^( 3/4 )y)^(- 1/3 )

Evaluate

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

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

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

Evaluate the power

More Steps

x^{- \frac{1}{4}} y^{- \frac{1}{3}}

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

\frac{1}{x ^{\frac{1}{4}}} \times y^{- \frac{1}{3}}

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

\frac{1}{x ^{\frac{1}{4}}} \times \frac{1}{y ^{\frac{1}{3}}}

Rewrite the expression

\frac{1}{x ^{\frac{1}{4}} y ^{\frac{1}{3}}}

Transform the expression

More Steps

\frac{1}{12 x ^{3} y ^{4}}

Multiply by the Conjugate

\frac{1 \times 12 x ^{9} y ^{8}}{12 x ^{3} y ^{4} \times 12 x ^{9} y ^{8}}

Calculate

\frac{1 \times 12 x ^{9} y ^{8}}{x y}

Solution

\frac{12 x ^{9} y ^{8}}{x y}

Simplify the expression