What is (x^{1/2}*x^{-3})/2 ?

The solution to (x^{1/2}*x^{-3})/2 is 1/(2x^{5/2)}

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simplify (x^{1/2}*x^{-3})/2

simplify

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

\frac{1}{2 x ^{\frac{5}{2}}}

Solution steps

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

Simplify

x^{\frac{1}{2}} x^{- 3} : \frac{1}{x ^{\frac{5}{2}}}

= \frac{\frac{1}{x ^{\frac{5}{2}}}}{2}

Apply the fraction rule:

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

= \frac{1}{x ^{\frac{5}{2}} \cdot 2}

= \frac{1}{2 x ^{\frac{5}{2}}}

\frac{1}{( 1 + \frac{1}{x} )}

y^{- 3} x^{6} + y^{6} x^{- 3}

\frac{( - 12 x ^{6} + x )}{( - 4 x ^{2} )}

(\frac{3 m ^{4} n ^{5}}{6 n ^{2}})^{3}

(a + b)^{- 1} \cdot (a^{- 1} + b^{- 1})