What is (sqrt(3x^{12)y^{10}})/(sqrt(5x^6y^3)) ?

The solution to (sqrt(3x^{12)y^{10}})/(sqrt(5x^6y^3)) is (sqrt(3)x^3y^3sqrt(y))/(sqrt(5))

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simplify (sqrt(3x^{12)y^{10}})/(sqrt(5x^6y^3))

simplify

\frac{3 x ^{12} y ^{10}}{5 x ^{6} y ^{3}}

\frac{3 x ^{3} y ^{3} y}{5}

Solution steps

\frac{3 x ^{12} y ^{10}}{5 x ^{6} y ^{3}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

\frac{3 x ^{12} y ^{10}}{5 x ^{6} y ^{3}} = \frac{3 x ^{12} y ^{10}}{5 x ^{6} y ^{3}}

= \frac{3 x ^{12} y ^{10}}{5 x ^{6} y ^{3}}

Cancel

\frac{3 x ^{12} y ^{10}}{5 x ^{6} y ^{3}} : \frac{3 x ^{6} y ^{7}}{5}

= \frac{3 x ^{6} y ^{7}}{5}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{3 x ^{6} y ^{7}}{5}

Simplify

3 x^{6} y^{7} : 3 x^{3} y^{3} y

= \frac{3 x ^{3} y ^{3} y}{5}

\frac{2}{4} \cdot \frac{2}{6}

60 \cdot \frac{π}{180}

- 3 + 8 x - 5 = - 8

6 x + 7 = 31

g - 7 > 12

What is (sqrt(3x^{12)y^{10}})/(sqrt(5x^6y^3)) ?
The solution to (sqrt(3x^{12)y^{10}})/(sqrt(5x^6y^3)) is (sqrt(3)x^3y^3sqrt(y))/(sqrt(5))