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Popular >

simplify x\times x^{(-1)/2}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{\frac{- 1}{2}} = x^{1 + \frac{- 1}{2}}

= x^{1 + \frac{- 1}{2}}

1 + \frac{- 1}{2} = \frac{1}{2}

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

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Frequently Asked Questions (FAQ)

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