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Popular >

simplify (x^3y^6)^{1/2}

Solution

simplify

(x^{3} y^{6})^{\frac{1}{2}}

Solution

x^{\frac{3}{2}} y^{3}

Solution steps

(x^{3} y^{6})^{\frac{1}{2}}

Apply exponent rule:

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

(x^{3} y^{6})^{\frac{1}{2}} = (x^{3})^{\frac{1}{2}} (y^{6})^{\frac{1}{2}}

= (x^{3})^{\frac{1}{2}} (y^{6})^{\frac{1}{2}}

Simplify

(x^{3})^{\frac{1}{2}} : x^{\frac{3}{2}}

= x^{\frac{3}{2}} (y^{6})^{\frac{1}{2}}

Simplify

(y^{6})^{\frac{1}{2}} : y^{3}

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

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Frequently Asked Questions (FAQ)

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