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

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

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

simplify

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

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

Solution steps

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

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

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

Simplify

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

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

Simplify

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

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

a^{6} b^{7} - a^{3} b^{2} + a^{2} b^{4} - a^{2} b^{2}

216 x^{3} + 1

\frac{12 x y ^{5}}{20 x ^{3} y ^{7}}

\frac{a + 7}{a ^{2} + 6 a - 7}

\frac{7}{12} x - \frac{1}{4} = 5

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