Finite Math Examples

$17000 {(1 + \frac{8}{36500})}^{10220}$

Step 1

Cancel the common factor of $8$ and $36500$ .

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Step 1.1

Factor $4$ out of $8$ .

$17000 {(1 + \frac{4 (2)}{36500})}^{10220}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $36500$ .

$17000 {(1 + \frac{4 \cdot 2}{4 \cdot 9125})}^{10220}$

Step 1.2.2

Cancel the common factor.

$17000 {(1 + \frac{4 \cdot 2}{4 \cdot 9125})}^{10220}$

Step 1.2.3

Rewrite the expression.

$17000 {(1 + \frac{2}{9125})}^{10220}$

Step 2

Simplify the expression.

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Step 2.1

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

$17000 {(\frac{9125}{9125} + \frac{2}{9125})}^{10220}$

Step 2.2

Combine the numerators over the common denominator.

$17000 {(\frac{9125 + 2}{9125})}^{10220}$

Step 2.3

Add $9125$ and $2$ .

$17000 {(\frac{9127}{9125})}^{10220}$

Step 2.4

Apply the product rule to $\frac{9127}{9125}$ .

$17000 \frac{9127^{10220}}{9125^{10220}}$

Step 3

Combine $17000$ and $\frac{9127^{10220}}{9125^{10220}}$ .

$\frac{17000 \cdot 9127^{10220}}{9125^{10220}}$