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Popular >

simplify x^{1/2}\times y^{1/2}

Solution

simplify

x^{\frac{1}{2}} \cdot y^{\frac{1}{2}}

Solution

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

Solution steps

x^{\frac{1}{2}} y^{\frac{1}{2}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

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

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

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Frequently Asked Questions (FAQ)

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