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

Evaluate

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

To find the roots of the expression,set the expression equal to 0

\frac{x ^{- 1}}{2} x^{\frac{1}{2}} = 0

Find the domain

\frac{x ^{- 1}}{2} x^{\frac{1}{2}} = 0, x > 0

Calculate

\frac{x ^{- 1}}{2} x^{\frac{1}{2}} = 0

Rewrite the expression

More Steps

\frac{1}{2 x} \times x^{\frac{1}{2}} = 0

Multiply the terms

More Steps

\frac{1}{2 x ^{\frac{1}{2}}} = 0

Cross multiply

1 = 2 x^{\frac{1}{2}} \times 0

Simplify the equation

1 = 0

Solution

x \in \emptyset

Simplify the expression