Precalculus Examples

$10 g^{6} \cdot \frac{1}{36} = x$

Step 1

Rewrite the equation as $x = 10 g^{6} \cdot \frac{1}{36}$ .

$x = 10 g^{6} \cdot \frac{1}{36}$

Step 2

Simplify $10 g^{6} \cdot \frac{1}{36}$ .

Tap for more steps...

Step 2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $10 g^{6}$ .

$x = 2 (5 g^{6}) \cdot \frac{1}{36}$

Step 2.1.2

Factor $2$ out of $36$ .

$x = 2 (5 g^{6}) \cdot \frac{1}{2 (18)}$

Step 2.1.3

Cancel the common factor.

$x = 2 (5 g^{6}) \cdot \frac{1}{2 \cdot 18}$

Step 2.1.4

Rewrite the expression.

$x = 5 g^{6} \cdot \frac{1}{18}$

Step 2.2

Combine $5$ and $\frac{1}{18}$ .

$x = g^{6} \cdot \frac{5}{18}$

Step 2.3

Combine $g^{6}$ and $\frac{5}{18}$ .

$x = \frac{g^{6} \cdot 5}{18}$

Step 2.4

Move $5$ to the left of $g^{6}$ .

$x = \frac{5 g^{6}}{18}$