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

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

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

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

Apply rule:

a \cdot 1 = a

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

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