What is sqrt((63x^{15)y^9)/(7xy^{11)}} ?

The solution to sqrt((63x^{15)y^9)/(7xy^{11)}} is (3x^7)/y

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simplify sqrt((63x^{15)y^9)/(7xy^{11)}}

simplify

\frac{63 x ^{15} y ^{9}}{7 x y ^{11}}

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

Solution steps

\frac{63 x ^{15} y ^{9}}{7 x y ^{11}}

Cancel

\frac{63 x ^{15} y ^{9}}{7 x y ^{11}} : \frac{9 x ^{14}}{y ^{2}}

= \frac{9 x ^{14}}{y ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{9 x ^{14}}{y ^{2}}

Simplify

9 x^{14} : 3 x^{7}

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

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

12 \div \frac{4}{3}

\frac{30}{5}

20 + 32 + 8 - 55

- 1 (1)

2 \cdot (x^{2} - r^{2}) \cdot (\frac{x + r}{2 x})

What is sqrt((63x^{15)y^9)/(7xy^{11)}} ?
The solution to sqrt((63x^{15)y^9)/(7xy^{11)}} is (3x^7)/y