Finite Math Examples

$\frac{65000 (1 - {(1.08)}^{- 64})}{0.08}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{65000 (1 - \frac{1}{{1.08}^{64}})}{0.08}$

Step 1.2

Raise $1.08$ to the power of $64$ .

$\frac{65000 (1 - \frac{1}{137.75911724})}{0.08}$

Step 1.3

Divide $1$ by $137.75911724$ .

$\frac{65000 (1 - 1 \cdot 0.00725904)}{0.08}$

Step 1.4

Multiply $- 1$ by $0.00725904$ .

$\frac{65000 (1 - 0.00725904)}{0.08}$

Step 1.5

Subtract $0.00725904$ from $1$ .

$\frac{65000 \cdot 0.99274095}{0.08}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $65000$ by $0.99274095$ .

$\frac{64528.16190099}{0.08}$

Step 2.2

Divide $64528.16190099$ by $0.08$ .

$806602.02376241$