Finite Math Examples

$(\frac{1}{2}) \cdot {(1 - \frac{1}{2})}^{5}$

Step 1

Write $1$ as a fraction with a common denominator.

$\frac{1}{2} \cdot {(\frac{2}{2} - \frac{1}{2})}^{5}$

Step 2

Combine the numerators over the common denominator.

$\frac{1}{2} \cdot {(\frac{2 - 1}{2})}^{5}$

Step 3

Subtract $1$ from $2$ .

$\frac{1}{2} \cdot {(\frac{1}{2})}^{5}$

Step 4

Multiply $\frac{1}{2}$ by ${(\frac{1}{2})}^{5}$ by adding the exponents.

Tap for more steps...

Step 4.1

Multiply $\frac{1}{2}$ by ${(\frac{1}{2})}^{5}$ .

Tap for more steps...

Step 4.1.1

Raise $\frac{1}{2}$ to the power of $1$ .

${(\frac{1}{2})}^{1} \cdot {(\frac{1}{2})}^{5}$

Step 4.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(\frac{1}{2})}^{1 + 5}$

Step 4.2

Add $1$ and $5$ .

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

Step 5

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{6}}{2^{6}}$

Step 6

One to any power is one.

$\frac{1}{2^{6}}$

Step 7

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

$\frac{1}{64}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{64}$

Decimal Form:

$0.015625$