Precalculus Examples

$x = 36 {(\frac{1}{3})}^{6}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{1}{3}$ .

$x = 36 \frac{1^{6}}{3^{6}}$

Step 1.2

One to any power is one.

$x = 36 \frac{1}{3^{6}}$

Step 1.3

Raise $3$ to the power of $6$ .

$x = 36 (\frac{1}{729})$

$x = 36 (\frac{1}{729})$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Factor $9$ out of $36$ .

$x = 9 (4) \frac{1}{729}$

Step 2.2

Factor $9$ out of $729$ .

$x = 9 \cdot 4 \frac{1}{9 \cdot 81}$

Step 2.3

Cancel the common factor.

$x = 9 \cdot 4 \frac{1}{9 \cdot 81}$

Step 2.4

Rewrite the expression.

$x = 4 (\frac{1}{81})$

$x = 4 (\frac{1}{81})$

Step 3

Combine $4$ and $\frac{1}{81}$ .

$x = \frac{4}{81}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{81}$

Decimal Form:

$x = 0.04938271 \dots$

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