What is (x^{1/3}y)^3sqrt(x^2y^2) ?

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

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simplify (x^{1/3}y)^3sqrt(x^2y^2)

simplify

(x^{\frac{1}{3}} y)^{3} x^{2} y^{2}

x^{2} y^{4}

Solution steps

(x^{\frac{1}{3}} y)^{3} x^{2} y^{2}

Simplify

x^{2} y^{2} : x y

= (x^{\frac{1}{3}} y)^{3} x y

Simplify

(x^{\frac{1}{3}} y)^{3} : x y^{3}

= x y^{3} x y

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= x^{2} y^{3} y

Simplify

y^{3} y : y^{4}

= x^{2} y^{4}

5 x^{2} + 4 x - 9 = 0

7 + 3 \cdot 4 - 2

\frac{1}{18}

x^{2} (x^{2} - 1) - 9 (x^{2} - 1)

2 x^{2} - 6 x y - 8 y^{2}

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