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Popular >

simplify \sqrt[9]{(x^2y)^2}

Solution

simplify

Solution

(x^{2} y)^{\frac{2}{9}}

Solution steps

Apply radical rule:

= ((x^{2} y)^{2})^{\frac{1}{9}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (x^{2} y)^{2 \cdot \frac{1}{9}}

2 \cdot \frac{1}{9} = \frac{2}{9}

= (x^{2} y)^{\frac{2}{9}}

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Frequently Asked Questions (FAQ)

What is \sqrt[9]{(x^2y)^2} ?
The solution to \sqrt[9]{(x^2y)^2} is (x^2y)^{2/9}