What is x^{1/2}\times 1/x ?

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

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simplify x^{1/2}\times 1/x

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

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

Apply rule:

a \cdot 1 = a

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

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

Simplify

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

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

- x^{2} + 9 x - 20

(u + 4) (u - 8)

\frac{77}{3}

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

2 \frac{1}{3} \times 3