What is ((x^2y^{-3})^{1/4})/(x^{-1)y^2} ?

The solution to ((x^2y^{-3})^{1/4})/(x^{-1)y^2} is (x^{3/2})/(y^{11/4)}

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simplify ((x^2y^{-3})^{1/4})/(x^{-1)y^2}

simplify

\frac{( x ^{2} y ^{- 3} ) ^{\frac{1}{4}}}{x ^{- 1} y ^{2}}

\frac{x ^{\frac{3}{2}}}{y ^{\frac{11}{4}}}

Solution steps

\frac{( x ^{2} y ^{- 3} ) ^{\frac{1}{4}}}{x ^{- 1} y ^{2}}

Simplify

(x^{2} y^{- 3})^{\frac{1}{4}} : x^{\frac{1}{2}} \frac{1}{y ^{\frac{3}{4}}}

= \frac{x ^{\frac{1}{2}} \frac{1}{y ^{\frac{3}{4}}}}{x ^{- 1} y ^{2}}

Simplify

\frac{x ^{\frac{1}{2}}}{x ^{- 1}} : x^{\frac{3}{2}}

= \frac{x ^{\frac{3}{2}} \frac{1}{y ^{\frac{3}{4}}}}{y ^{2}}

Simplify

\frac{x ^{\frac{3}{2}} \frac{1}{y ^{\frac{3}{4}}}}{y ^{2}} : \frac{x ^{\frac{3}{2}}}{y ^{\frac{11}{4}}}

= \frac{x ^{\frac{3}{2}}}{y ^{\frac{11}{4}}}

\frac{cot ( x )}{csc ( x )}

\frac{3 a ^{2} - 3 a - 6}{3 a ^{2} - 3}

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

sin^{2} (θ) + cos^{2} (θ)

sin^{4} (x) - cos^{4} (x)

What is ((x^2y^{-3})^{1/4})/(x^{-1)y^2} ?
The solution to ((x^2y^{-3})^{1/4})/(x^{-1)y^2} is (x^{3/2})/(y^{11/4)}