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Popular >

simplify (27x^6y^{12})^{1/3}

Solution

simplify

(27 x^{6} y^{12})^{\frac{1}{3}}

Solution

3 x^{2} y^{4}

Solution steps

(27 x^{6} y^{12})^{\frac{1}{3}}

Apply exponent rule:

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

(27 x^{6} y^{12})^{\frac{1}{3}} = 2 7^{\frac{1}{3}} (x^{6})^{\frac{1}{3}} (y^{12})^{\frac{1}{3}}

= 2 7^{\frac{1}{3}} (x^{6})^{\frac{1}{3}} (y^{12})^{\frac{1}{3}}

2 7^{\frac{1}{3}} = 3

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

Simplify

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

= 3 x^{2} (y^{12})^{\frac{1}{3}}

Simplify

(y^{12})^{\frac{1}{3}} : y^{4}

= 3 x^{2} y^{4}

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Frequently Asked Questions (FAQ)

What is (27x^6y^{12})^{1/3} ?
The solution to (27x^6y^{12})^{1/3} is 3x^2y^4