Finite Math Examples

$851.97 (\frac{0.056}{12}) {(1 + \frac{\frac{0.056}{12}}{\frac{0.056}{12}})}^{- 360 + 1 - 1}$

Step 1

Simplify the expression.

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Step 1.1

Divide $0.056$ by $12$ .

$851.97 \cdot 0.004\overline{6} \cdot {(1 + \frac{\frac{0.056}{12}}{\frac{0.056}{12}})}^{- 360 + 1 - 1}$

Step 1.2

Multiply $851.97$ by $0.004\overline{6}$ .

$3.97586 \cdot {(1 + \frac{\frac{0.056}{12}}{\frac{0.056}{12}})}^{- 360 + 1 - 1}$

Step 2

Cancel the common factor of $\frac{0.056}{12}$ .

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Step 2.1

Cancel the common factor.

$3.97586 \cdot {(1 + \frac{\frac{0.056}{12}}{\frac{0.056}{12}})}^{- 360 + 1 - 1}$

Step 2.2

Rewrite the expression.

$3.97586 \cdot {(1 + 1)}^{- 360 + 1 - 1}$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $1$ and $1$ .

$3.97586 \cdot 2^{- 360 + 1 - 1}$

Step 3.2

Add $- 360$ and $1$ .

$3.97586 \cdot 2^{- 359 - 1}$

Step 3.3

Subtract $1$ from $- 359$ .

$3.97586 \cdot 2^{- 360}$

Step 4

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

$3.97586 \cdot \frac{1}{2^{360}}$

Step 5

Combine $3.97586$ and $\frac{1}{2^{360}}$ .

$\frac{3.97586}{2^{360}}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3.97586}{2^{360}}$

Decimal Form:

$1.69290522 \cdot 10^{- 108}$