Algebra Examples

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

Step 1

Move the negative in front of the fraction.

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

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 3

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

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

Step 4

Anything raised to $1$ is the base itself.

$\frac{1}{\sqrt{x}}$