Algebra Examples

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

Step 1

Move $x^{- \frac{1}{2}}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

Combine $x^{\frac{1}{2}}$ and $\frac{1}{2}$ .

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

Step 3

Rewrite $1$ as $- 1 (- 1)$ .

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

Step 4

Move the negative in front of the fraction.

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

Step 5

Multiply the numerator by the reciprocal of the denominator.

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

Step 6

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

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