What is 1/7 sqrt(x^3y^{36)} ?

The solution to 1/7 sqrt(x^3y^{36)} is (xsqrt(x)y^{18})/7

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simplify 1/7 sqrt(x^3y^{36)}

simplify

\frac{1}{7} x^{3} y^{36}

\frac{x x y ^{18}}{7}

Solution steps

\frac{1}{7} x^{3} y^{36}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{3} y^{36} = x^{3} y^{36}

= \frac{1}{7} x^{3} y^{36}

Simplify

x^{3} : x x

= \frac{1}{7} x x y^{36}

Simplify

y^{36} : y^{18}

= \frac{1}{7} x x y^{18}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot x x y ^{18}}{7}

Apply rule:

1 \cdot a = a

1 \cdot x x y^{18} = x x y^{18}

= \frac{x x y ^{18}}{7}

3 x + 5 > 8

x^{2} - 12 x = - 27

6 x^{2} - 13 x - 5 = 0

8 x + 7 = 8 x - 7

(8 + - 12) - (4 + 2 3 i)

What is 1/7 sqrt(x^3y^{36)} ?
The solution to 1/7 sqrt(x^3y^{36)} is (xsqrt(x)y^{18})/7