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Popular >

simplify (36x^6y^8)^{1/2}

Solution

simplify

(36 x^{6} y^{8})^{\frac{1}{2}}

Solution

6 x^{3} y^{4}

Solution steps

(36 x^{6} y^{8})^{\frac{1}{2}}

Apply exponent rule:

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

(36 x^{6} y^{8})^{\frac{1}{2}} = 3 6^{\frac{1}{2}} (x^{6})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}

= 3 6^{\frac{1}{2}} (x^{6})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}

3 6^{\frac{1}{2}} = 6

= 6 (x^{6})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}

Simplify

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

= 6 x^{3} (y^{8})^{\frac{1}{2}}

Simplify

(y^{8})^{\frac{1}{2}} : y^{4}

= 6 x^{3} y^{4}

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Frequently Asked Questions (FAQ)

What is (36x^6y^8)^{1/2} ?
The solution to (36x^6y^8)^{1/2} is 6x^3y^4