Finite Math Examples

$s \cdot 5 = \frac{16 (4^{5} - 1)}{4 - 1}$

Step 1

Simplify.

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Step 1.1

Raise $4$ to the power of $5$ .

$s \cdot 5 = \frac{16 (1024 - 1)}{4 - 1}$

Step 1.2

Subtract $1$ from $1024$ .

$s \cdot 5 = \frac{16 \cdot 1023}{4 - 1}$

Step 1.3

Multiply $16$ by $1023$ .

$s \cdot 5 = \frac{16368}{4 - 1}$

Step 1.4

Subtract $1$ from $4$ .

$s \cdot 5 = \frac{16368}{3}$

Step 1.5

Divide $16368$ by $3$ .

$s \cdot 5 = 5456$

$s \cdot 5 = 5456$

Step 2

Divide each term in $s \cdot 5 = 5456$ by $5$ and simplify.

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Step 2.1

Divide each term in $s \cdot 5 = 5456$ by $5$ .

$\frac{s \cdot 5}{5} = \frac{5456}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{s \cdot 5}{5} = \frac{5456}{5}$

Step 2.2.1.2

Divide $s$ by $1$ .

$s = \frac{5456}{5}$

$s = \frac{5456}{5}$

$s = \frac{5456}{5}$

$s = \frac{5456}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$s = \frac{5456}{5}$

Decimal Form:

$s = 1091.2$

Mixed Number Form:

$s = 1091 \frac{1}{5}$

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