What is expand-x^{1/2}*x^{-1/2} ?

The solution to expand-x^{1/2}*x^{-1/2} is -1

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expand-x^{1/2}*x^{-1/2}

expand

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

- 1

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Cancel the common factor:

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

= - 1

e^{- t} 3 \frac{tan ( \frac{1}{s} )}{s}

\frac{x ^{\frac{1}{a - 1}}}{y ^{\frac{1}{a - 1}}}

4.5614 8^{- 18}