Finite Math Examples

${(3 x)}^{5} (\frac{2}{x^{2}})$

Step 1

Apply the product rule to $3 x$ .

$3^{5} x^{5} \frac{2}{x^{2}}$

Step 2

Cancel the common factor of $x^{2}$ .

Tap for more steps...

Step 2.1

Factor $x^{2}$ out of $3^{5} x^{5}$ .

$x^{2} (3^{5} x^{3}) \frac{2}{x^{2}}$

Step 2.2

Cancel the common factor.

$x^{2} (3^{5} x^{3}) \frac{2}{x^{2}}$

Step 2.3

Rewrite the expression.

$3^{5} x^{3} \cdot 2$

$3^{5} x^{3} \cdot 2$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Raise $3$ to the power of $5$ .

$243 x^{3} \cdot 2$

Step 3.2

Multiply $2$ by $243$ .

$486 x^{3}$

$486 x^{3}$

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