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

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

Multiply $x$ by $x^{- \frac{1}{2}}$ .

Raise $x$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Subtract $1$ from $2$ .

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