Simplify x^(-1/2)*x

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Add $- 1$ and $2$ .

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