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Popular >

simplify (32x^{10}y^{15})^{1/5}

Solution

simplify

(32 x^{10} y^{15})^{\frac{1}{5}}

Solution

2 x^{2} y^{3}

Solution steps

(32 x^{10} y^{15})^{\frac{1}{5}}

Apply exponent rule:

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

(32 x^{10} y^{15})^{\frac{1}{5}} = 3 2^{\frac{1}{5}} (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

= 3 2^{\frac{1}{5}} (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

3 2^{\frac{1}{5}} = 2

= 2 (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

Simplify

(x^{10})^{\frac{1}{5}} : x^{2}

= 2 x^{2} (y^{15})^{\frac{1}{5}}

Simplify

(y^{15})^{\frac{1}{5}} : y^{3}

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

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Frequently Asked Questions (FAQ)

What is (32x^{10}y^{15})^{1/5} ?
The solution to (32x^{10}y^{15})^{1/5} is 2x^2y^3