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

The solution to x^{-3}y^{1/3}x^{-2}y^{-1/2} is 1/(x^5y^{1/6)}

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simplify x^{-3}y^{1/3}x^{-2}y^{-1/2}

simplify

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

\frac{1}{x ^{5} y ^{\frac{1}{6}}}

Solution steps

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

Simplify

x^{- 3} x^{- 2} : \frac{1}{x ^{5}}

= \frac{1}{x ^{5}} y^{\frac{1}{3}} y^{- \frac{1}{2}}

Simplify

y^{\frac{1}{3}} y^{- \frac{1}{2}} : \frac{1}{y ^{\frac{1}{6}}}

= \frac{1}{x ^{5}} \cdot \frac{1}{y ^{\frac{1}{6}}}

Simplify

\frac{1}{x ^{5}} \cdot \frac{1}{y ^{\frac{1}{6}}} : \frac{1}{x ^{5} y ^{\frac{1}{6}}}

= \frac{1}{x ^{5} y ^{\frac{1}{6}}}

\frac{8}{6}

\frac{x ( x - 5 )}{x + 3} > 0

\frac{2 ( 3 )}{3 + 1}

6 x^{2} - 24 x + 18

\frac{4 x + 2}{3} + \frac{2 x - 1}{5} = 2

What is x^{-3}y^{1/3}x^{-2}y^{-1/2} ?
The solution to x^{-3}y^{1/3}x^{-2}y^{-1/2} is 1/(x^5y^{1/6)}