simplify x^{(-3)/2}

Solution

simplify

x^{\frac{- 3}{2}}

\frac{1}{x ^{\frac{3}{2}}}

Solution steps

x^{\frac{- 3}{2}}

Apply the fraction rule:

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

\frac{- 3}{2} = - \frac{3}{2}

= x^{- \frac{3}{2}}

Apply exponent rule:

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

x^{- \frac{3}{2}} = \frac{1}{x ^{\frac{3}{2}}}

= \frac{1}{x ^{\frac{3}{2}}}

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