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Popular >

simplify (4x^{1/3}y^2)^3

Solution

simplify

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

Solution

64 x y^{6}

Solution steps

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

Apply exponent rule:

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

(4 x^{\frac{1}{3}} y^{2})^{3} = 4^{3} (x^{\frac{1}{3}})^{3} (y^{2})^{3}

= 4^{3} (x^{\frac{1}{3}})^{3} (y^{2})^{3}

4^{3} = 64

= 64 (x^{\frac{1}{3}})^{3} (y^{2})^{3}

Simplify

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

= 64 x (y^{2})^{3}

Simplify

(y^{2})^{3} : y^{6}

= 64 x y^{6}

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Frequently Asked Questions (FAQ)

What is (4x^{1/3}y^2)^3 ?
The solution to (4x^{1/3}y^2)^3 is 64xy^6