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Popular >

simplify (x^3y^6)^{1/3}

Solution

simplify

(x^{3} y^{6})^{\frac{1}{3}}

Solution

x y^{2}

Solution steps

(x^{3} y^{6})^{\frac{1}{3}}

Apply exponent rule:

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

(x^{3} y^{6})^{\frac{1}{3}} = (x^{3})^{\frac{1}{3}} (y^{6})^{\frac{1}{3}}

= (x^{3})^{\frac{1}{3}} (y^{6})^{\frac{1}{3}}

Simplify

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

= x (y^{6})^{\frac{1}{3}}

Simplify

(y^{6})^{\frac{1}{3}} : y^{2}

= x y^{2}

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Frequently Asked Questions (FAQ)

What is (x^3y^6)^{1/3} ?
The solution to (x^3y^6)^{1/3} is xy^2