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Popular >

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

Solution

simplify

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

Solution

x^{\frac{4}{3}} y^{\frac{4}{3}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(x^{\frac{1}{3}})^{4} : x^{\frac{4}{3}}

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

Simplify

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

= x^{\frac{4}{3}} y^{\frac{4}{3}}

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Frequently Asked Questions (FAQ)

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