simplify x^{1/2-1}

Solution

simplify

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

\frac{1}{x}

Solution steps

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}}}

Apply exponent rule:

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

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

= \frac{1}{x}

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