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

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

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

simplify

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

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

Solution steps

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

Cancel the common factor:

3

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

Simplify

\frac{y ^{\frac{1}{4}}}{y ^{\frac{3}{2}}} : \frac{1}{y ^{\frac{5}{4}}}

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

Simplify

\frac{1}{4 x ^{- \frac{2}{3}} y ^{\frac{5}{4}} y ^{\frac{1}{2}}} : \frac{x ^{\frac{2}{3}}}{4 y ^{\frac{7}{4}}}

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

3 (- 8) + \frac{21}{- 7} + 1

64 x^{2} + 112 x + 49

3 x^{2} + 4 x + 10 = 0

a^{2} - a^{3}

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