What is (x^{1/2}y^{2/3})/(x^{1/4)y^{1/6}} ?

The solution to (x^{1/2}y^{2/3})/(x^{1/4)y^{1/6}} is x^{1/4}y^{1/2}

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simplify (x^{1/2}y^{2/3})/(x^{1/4)y^{1/6}}

simplify

\frac{x ^{\frac{1}{2}} y ^{\frac{2}{3}}}{x ^{\frac{1}{4}} y ^{\frac{1}{6}}}

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

Solution steps

\frac{x ^{\frac{1}{2}} y ^{\frac{2}{3}}}{x ^{\frac{1}{4}} y ^{\frac{1}{6}}}

Simplify

\frac{x ^{\frac{1}{2}}}{x ^{\frac{1}{4}}} : x^{\frac{1}{4}}

= \frac{x ^{\frac{1}{4}} y ^{\frac{2}{3}}}{y ^{\frac{1}{6}}}

Simplify

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

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

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What is (x^{1/2}y^{2/3})/(x^{1/4)y^{1/6}} ?
The solution to (x^{1/2}y^{2/3})/(x^{1/4)y^{1/6}} is x^{1/4}y^{1/2}