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

The solution to (1/4*1/x*y^{3/2})/(3^{-1/4)*x*y^{-1/4}} is (y^{7/4}*3^{1/4})/(4x^2)

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simplify (1/41/xy^{3/2})/(3^{-1/4)xy^{-1/4}}

simplify

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

\frac{y ^{\frac{7}{4}} \cdot 3 ^{\frac{1}{4}}}{4 x ^{2}}

Solution steps

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

Simplify

\frac{y ^{\frac{3}{2}}}{y ^{- \frac{1}{4}}} : y^{\frac{7}{4}}

= \frac{\frac{1}{4} \cdot \frac{1}{x} y ^{\frac{7}{4}}}{3 ^{- \frac{1}{4}} x}

Simplify

\frac{\frac{1}{4} \cdot \frac{1}{x} y ^{\frac{7}{4}}}{3 ^{- \frac{1}{4}} x} : \frac{y ^{\frac{7}{4}} \cdot 3 ^{\frac{1}{4}}}{4 x ^{2}}

= \frac{y ^{\frac{7}{4}} \cdot 3 ^{\frac{1}{4}}}{4 x ^{2}}

\frac{100}{25} + \frac{36}{9}

6 \cdot \frac{1}{8}

(x^{2} + x y + y^{2}) (x^{2} - x y + y^{2})

\frac{160}{7}

\frac{\frac{s i n ( x )}{c o s ( x )}}{sin ( x )}

What is (1/4*1/x*y^{3/2})/(3^{-1/4)*x*y^{-1/4}} ?
The solution to (1/4*1/x*y^{3/2})/(3^{-1/4)*x*y^{-1/4}} is (y^{7/4}*3^{1/4})/(4x^2)