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Popular >

simplify (125x^9y^6)^{1/3}

Solution

simplify

(125 x^{9} y^{6})^{\frac{1}{3}}

Solution

5 x^{3} y^{2}

Solution steps

(125 x^{9} y^{6})^{\frac{1}{3}}

Apply exponent rule:

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

(125 x^{9} y^{6})^{\frac{1}{3}} = 12 5^{\frac{1}{3}} (x^{9})^{\frac{1}{3}} (y^{6})^{\frac{1}{3}}

= 12 5^{\frac{1}{3}} (x^{9})^{\frac{1}{3}} (y^{6})^{\frac{1}{3}}

12 5^{\frac{1}{3}} = 5

= 5 (x^{9})^{\frac{1}{3}} (y^{6})^{\frac{1}{3}}

Simplify

(x^{9})^{\frac{1}{3}} : x^{3}

= 5 x^{3} (y^{6})^{\frac{1}{3}}

Simplify

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

= 5 x^{3} y^{2}

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Frequently Asked Questions (FAQ)

What is (125x^9y^6)^{1/3} ?
The solution to (125x^9y^6)^{1/3} is 5x^3y^2