Finite Math Examples

$\frac{400}{1 + e^{- 1}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{400}{1 + \frac{1}{e}}$

Step 1.2

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

$\frac{400}{\frac{e}{e} + \frac{1}{e}}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{400}{\frac{e + 1}{e}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$400 \frac{e}{e + 1}$

Step 3

Combine $400$ and $\frac{e}{e + 1}$ .

$\frac{400 e}{e + 1}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{400 e}{e + 1}$

Decimal Form:

$292.42343145 \dots$