Finite Math Examples

$\frac{\frac{1}{2} \cdot (1 - 2^{8})}{1 - 2}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $2$ to the power of $8$ .

$\frac{\frac{1}{2} (1 - 1 \cdot 256)}{1 - 2}$

Step 1.2

Multiply $- 1$ by $256$ .

$\frac{\frac{1}{2} (1 - 256)}{1 - 2}$

Step 1.3

Subtract $256$ from $1$ .

$\frac{\frac{1}{2} \cdot - 255}{1 - 2}$

$\frac{\frac{1}{2} \cdot - 255}{1 - 2}$

Step 2

Simplify terms.

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Step 2.1

Subtract $2$ from $1$ .

$\frac{\frac{1}{2} \cdot - 255}{- 1}$

Step 2.2

Combine $\frac{1}{2}$ and $- 255$ .

$\frac{\frac{- 255}{2}}{- 1}$

Step 2.3

Move the negative in front of the fraction.

$\frac{- \frac{255}{2}}{- 1}$

Step 2.4

Dividing two negative values results in a positive value.

$\frac{\frac{255}{2}}{1}$

Step 2.5

Divide $\frac{255}{2}$ by $1$ .

$\frac{255}{2}$

$\frac{255}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{255}{2}$

Decimal Form:

$127.5$

Mixed Number Form:

$127 \frac{1}{2}$

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