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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

x^{\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}}}

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

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Frequently Asked Questions (FAQ)

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