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Popular >

simplify (xy^2)^{1/3}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

Simplify

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

= x^{\frac{1}{3}} y^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

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