Finite Math Examples

$1 {(\frac{1}{2})}^{16} (1 - \frac{1}{2})$

Step 1

Multiply ${(\frac{1}{2})}^{16}$ by $1$ .

${(\frac{1}{2})}^{16} (1 - \frac{1}{2})$

Step 2

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

$\frac{1^{16}}{2^{16}} (1 - \frac{1}{2})$

Step 3

One to any power is one.

$\frac{1}{2^{16}} (1 - \frac{1}{2})$

Step 4

Raise $2$ to the power of $16$ .

$\frac{1}{65536} (1 - \frac{1}{2})$

Step 5

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

$\frac{1}{65536} (\frac{2}{2} - \frac{1}{2})$

Step 6

Combine the numerators over the common denominator.

$\frac{1}{65536} \cdot \frac{2 - 1}{2}$

Step 7

Subtract $1$ from $2$ .

$\frac{1}{65536} \cdot \frac{1}{2}$

Step 8

Multiply $\frac{1}{65536} \cdot \frac{1}{2}$ .

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Step 8.1

Multiply $\frac{1}{65536}$ by $\frac{1}{2}$ .

$\frac{1}{65536 \cdot 2}$

Step 8.2

Multiply $65536$ by $2$ .

$\frac{1}{131072}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{131072}$

Decimal Form:

$7.62939453 \cdot 10^{- 6}$