Precalculus Examples

${(e^{\ln (\frac{1}{2})})}^{2}$

Step 1

Exponentiation and log are inverse functions.

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

Step 2

Apply the product rule to $\frac{1}{2}$ .

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

Step 3

One to any power is one.

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

Step 4

Raise $2$ to the power of $2$ .

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$