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Popular >

simplify (7x^3y^2)^{2/7}

Solution

simplify

(7 x^{3} y^{2})^{\frac{2}{7}}

Solution

7^{\frac{2}{7}} x^{\frac{6}{7}} y^{\frac{4}{7}}

Solution steps

(7 x^{3} y^{2})^{\frac{2}{7}}

Apply exponent rule:

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

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

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

Simplify

(x^{3})^{\frac{2}{7}} : x^{\frac{6}{7}}

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

Simplify

(y^{2})^{\frac{2}{7}} : y^{\frac{4}{7}}

= 7^{\frac{2}{7}} x^{\frac{6}{7}} y^{\frac{4}{7}}

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Frequently Asked Questions (FAQ)

What is (7x^3y^2)^{2/7} ?
The solution to (7x^3y^2)^{2/7} is 7^{2/7}x^{6/7}y^{4/7}