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Popular >

simplify (8x^4y^2)^{2/3}

Solution

simplify

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

Solution

4 x^{\frac{8}{3}} y^{\frac{4}{3}}

Solution steps

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

Apply exponent rule:

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

(8 x^{4} y^{2})^{\frac{2}{3}} = 8^{\frac{2}{3}} (x^{4})^{\frac{2}{3}} (y^{2})^{\frac{2}{3}}

= 8^{\frac{2}{3}} (x^{4})^{\frac{2}{3}} (y^{2})^{\frac{2}{3}}

8^{\frac{2}{3}} = 4

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

Simplify

(x^{4})^{\frac{2}{3}} : x^{\frac{8}{3}}

= 4 x^{\frac{8}{3}} (y^{2})^{\frac{2}{3}}

Simplify

(y^{2})^{\frac{2}{3}} : y^{\frac{4}{3}}

= 4 x^{\frac{8}{3}} y^{\frac{4}{3}}

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Frequently Asked Questions (FAQ)

What is (8x^4y^2)^{2/3} ?
The solution to (8x^4y^2)^{2/3} is 4x^{8/3}y^{4/3}