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

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

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

simplify

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

\frac{1}{2 x}

Solution steps

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 1 \cdot 1 = 1

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

Simplify

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

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

= \frac{1}{2 x}

(x + 4) (- x + 2)

7.66 x 1 0^{- 2}

a^{2} b^{3} (2^{a} b)

m^{3} n^{3}

1.29 \cdot 1 0^{- 3}

What is 1/(sqrt(x))*1/2 x^{-1/2} ?
The solution to 1/(sqrt(x))*1/2 x^{-1/2} is 1/(2x)