Finite Math Examples

$174356582400 {(\frac{1}{2})}^{2} {(1 - \frac{1}{2})}^{11}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

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

$174356582400 \frac{1^{2}}{2^{2}} {(1 - \frac{1}{2})}^{11}$

Step 1.2

One to any power is one.

$174356582400 \frac{1}{2^{2}} {(1 - \frac{1}{2})}^{11}$

Step 1.3

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

$174356582400 (\frac{1}{4}) {(1 - \frac{1}{2})}^{11}$

Step 2

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.1

Factor $4$ out of $174356582400$ .

$4 (43589145600) \frac{1}{4} {(1 - \frac{1}{2})}^{11}$

Step 2.2

Cancel the common factor.

$4 \cdot 43589145600 \frac{1}{4} {(1 - \frac{1}{2})}^{11}$

Step 2.3

Rewrite the expression.

$43589145600 {(1 - \frac{1}{2})}^{11}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

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

$43589145600 {(\frac{2}{2} - \frac{1}{2})}^{11}$

Step 3.2

Combine the numerators over the common denominator.

$43589145600 {(\frac{2 - 1}{2})}^{11}$

Step 3.3

Subtract $1$ from $2$ .

$43589145600 {(\frac{1}{2})}^{11}$

Step 3.4

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

$43589145600 \frac{1^{11}}{2^{11}}$

Step 3.5

One to any power is one.

$43589145600 \frac{1}{2^{11}}$

Step 3.6

Raise $2$ to the power of $11$ .

$43589145600 (\frac{1}{2048})$

Step 4

Cancel the common factor of $1024$ .

Tap for more steps...

Step 4.1

Factor $1024$ out of $43589145600$ .

$1024 (42567525) \frac{1}{2048}$

Step 4.2

Factor $1024$ out of $2048$ .

$1024 \cdot 42567525 \frac{1}{1024 \cdot 2}$

Step 4.3

Cancel the common factor.

$1024 \cdot 42567525 \frac{1}{1024 \cdot 2}$

Step 4.4

Rewrite the expression.

$42567525 (\frac{1}{2})$

Step 5

Combine $42567525$ and $\frac{1}{2}$ .

$\frac{42567525}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{42567525}{2}$

Decimal Form:

$21283762.5$

Mixed Number Form:

$21283762 \frac{1}{2}$