Finite Math Examples

${(\frac{1}{3})}^{0} {(\frac{2}{3})}^{6}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

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

$\frac{1^{0}}{3^{0}} {(\frac{2}{3})}^{6}$

Step 1.2

Anything raised to $0$ is $1$ .

$\frac{1}{3^{0}} {(\frac{2}{3})}^{6}$

Step 1.3

Anything raised to $0$ is $1$ .

$\frac{1}{1} {(\frac{2}{3})}^{6}$

$\frac{1}{1} {(\frac{2}{3})}^{6}$

Step 2

Cancel the common factor of $1$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{1}{1} {(\frac{2}{3})}^{6}$

Step 2.2

Rewrite the expression.

$1 {(\frac{2}{3})}^{6}$

$1 {(\frac{2}{3})}^{6}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply ${(\frac{2}{3})}^{6}$ by $1$ .

${(\frac{2}{3})}^{6}$

Step 3.2

Apply the product rule to $\frac{2}{3}$ .

$\frac{2^{6}}{3^{6}}$

Step 3.3

Raise $2$ to the power of $6$ .

$\frac{64}{3^{6}}$

Step 3.4

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

$\frac{64}{729}$

$\frac{64}{729}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{729}$

Decimal Form:

$0.08779149 \dots$

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