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

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

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Simplify x^(1/2)(1/2x^(-1/2))

simplify

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

Apply rule:

a \cdot 1 = a

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

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

Apply the fraction rule:

\frac{a}{a} = 1

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

= \frac{1}{2}

26 \frac{1}{2} /6 \frac{5}{8}

x, x - 5 (x - 1) = x - (2 x - 3)

100%

x, 6 4^{3 x} = 51 2^{2 x + 12}

x, ∣ 3 x - 2 ∣ = 5

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