Finite Math Examples

$1051.04 (0.00533) {(1 - \frac{1 + \frac{0.0566}{12}}{\frac{0.0533}{12}})}^{- 360 + 1}$

Step 1

Multiply $1051.04$ by $0.00533$ .

$5.6020432 {(1 - \frac{1 + \frac{0.0566}{12}}{\frac{0.0533}{12}})}^{- 360 + 1}$

Step 2

Simplify each term.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$5.6020432 {(1 - ((1 + \frac{0.0566}{12}) \frac{12}{0.0533}))}^{- 360 + 1}$

Step 2.2

Divide $0.0566$ by $12$ .

$5.6020432 {(1 - ((1 + 0.00471\overline{6}) \frac{12}{0.0533}))}^{- 360 + 1}$

Step 2.3

Add $1$ and $0.00471\overline{6}$ .

$5.6020432 {(1 - (1.00471\overline{6} (\frac{12}{0.0533})))}^{- 360 + 1}$

Step 2.4

Divide $12$ by $0.0533$ .

$5.6020432 {(1 - (1.00471\overline{6} \cdot 225.14071294))}^{- 360 + 1}$

Step 2.5

Multiply $- (1.00471\overline{6} \cdot 225.14071294)$ .

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Step 2.5.1

Multiply $1.00471\overline{6}$ by $225.14071294$ .

$5.6020432 {(1 - 1 \cdot 226.20262664)}^{- 360 + 1}$

Step 2.5.2

Multiply $- 1$ by $226.20262664$ .

$5.6020432 {(1 - 226.20262664)}^{- 360 + 1}$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $226.20262664$ from $1$ .

$5.6020432 {(- 225.20262664)}^{- 360 + 1}$

Step 3.2

Add $- 360$ and $1$ .

$5.6020432 {(- 225.20262664)}^{- 359}$

Step 4

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

$5.6020432 \frac{1}{{(- 225.20262664)}^{359}}$

Step 5

Combine $5.6020432$ and $\frac{1}{{(- 225.20262664)}^{359}}$ .

$\frac{5.6020432}{{(- 225.20262664)}^{359}}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5.6020432}{{(- 225.20262664)}^{359}}$

Decimal Form:

$0$