Finite Math Examples

$\frac{1 - {(1.005)}^{- 300}}{0.005} \cdot 1190.1$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

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

$\frac{1 - \frac{1}{{1.005}^{300}}}{0.005} \cdot 1190.1$

Step 1.2

Raise $1.005$ to the power of $300$ .

$\frac{1 - \frac{1}{4.46496981}}{0.005} \cdot 1190.1$

Step 1.3

Divide $1$ by $4.46496981$ .

$\frac{1 - 1 \cdot 0.22396567}{0.005} \cdot 1190.1$

Step 1.4

Multiply $- 1$ by $0.22396567$ .

$\frac{1 - 0.22396567}{0.005} \cdot 1190.1$

Step 1.5

Subtract $0.22396567$ from $1$ .

$\frac{0.77603432}{0.005} \cdot 1190.1$

Step 2

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 2.1

Cancel the common factor of $0.005$ .

Tap for more steps...

Step 2.1.1

Factor $0.005$ out of $1190.1$ .

$\frac{0.77603432}{0.005} \cdot (0.005 (238020))$

Step 2.1.2

Cancel the common factor.

$\frac{0.77603432}{0.005} \cdot (0.005 \cdot 238020)$

Step 2.1.3

Rewrite the expression.

$0.77603432 \cdot 238020$

Step 2.2

Multiply $0.77603432$ by $238020$ .

$184711.68885494$