Precalculus Examples

$10^{\log ({(\frac{1}{10})}^{3})}$

Step 1

Exponentiation and log are inverse functions.

${(\frac{1}{10})}^{3}$

Step 2

Apply the product rule to $\frac{1}{10}$ .

$\frac{1^{3}}{10^{3}}$

Step 3

One to any power is one.

$\frac{1}{10^{3}}$

Step 4

Raise $10$ to the power of $3$ .

$\frac{1}{1000}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{1000}$

Decimal Form:

$0.001$

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