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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

Popular Examples

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15 v^{3} \cdot 3 v

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\frac{1}{m - 1}

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20 a^{2} + a - 1

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\frac{\frac{4.5}{5} + \frac{5}{5}}{2}

Frequently Asked Questions (FAQ)

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