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Popular >

simplify (x^2y^4)^{1/2}

Solution

simplify

(x^{2} y^{4})^{\frac{1}{2}}

Solution

x y^{2}

Solution steps

(x^{2} y^{4})^{\frac{1}{2}}

Apply exponent rule:

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

(x^{2} y^{4})^{\frac{1}{2}} = (x^{2})^{\frac{1}{2}} (y^{4})^{\frac{1}{2}}

= (x^{2})^{\frac{1}{2}} (y^{4})^{\frac{1}{2}}

Simplify

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

= x (y^{4})^{\frac{1}{2}}

Simplify

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

= x y^{2}

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Frequently Asked Questions (FAQ)

What is (x^2y^4)^{1/2} ?
The solution to (x^2y^4)^{1/2} is xy^2