Finite Math Examples

$5 \cdot ((\frac{1}{2}) {(\frac{1}{2})}^{4})$

Step 1

Multiply $\frac{1}{2}$ by ${(\frac{1}{2})}^{4}$ by adding the exponents.

Tap for more steps...

Step 1.1

Multiply $\frac{1}{2}$ by ${(\frac{1}{2})}^{4}$ .

Tap for more steps...

Step 1.1.1

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

$5 \cdot ({(\frac{1}{2})}^{1} {(\frac{1}{2})}^{4})$

Step 1.1.2

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

$5 \cdot {(\frac{1}{2})}^{1 + 4}$

Step 1.2

Add $1$ and $4$ .

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

Step 2

Simplify the expression.

Tap for more steps...

Step 2.1

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

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

Step 2.2

One to any power is one.

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

Step 2.3

Raise $2$ to the power of $5$ .

$5 \cdot \frac{1}{32}$

Step 3

Combine $5$ and $\frac{1}{32}$ .

$\frac{5}{32}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{32}$

Decimal Form:

$0.15625$