Finite Math Examples

$500 {(1 + \frac{1}{150})}^{84}$

Step 1

Simplify the expression.

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Step 1.1

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

$500 {(\frac{150}{150} + \frac{1}{150})}^{84}$

Step 1.2

Combine the numerators over the common denominator.

$500 {(\frac{150 + 1}{150})}^{84}$

Step 1.3

Add $150$ and $1$ .

$500 {(\frac{151}{150})}^{84}$

Step 1.4

Apply the product rule to $\frac{151}{150}$ .

$500 \frac{151^{84}}{150^{84}}$

Step 2

Combine $500$ and $\frac{151^{84}}{150^{84}}$ .

$\frac{500 \cdot 151^{84}}{150^{84}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{500 \cdot 151^{84}}{150^{84}}$

Decimal Form:

$873.71102571 \dots$