Finite Math Examples

$\frac{790}{1 + 7 e^{- 0.1 \cdot 10}}$

Step 1

Simplify the denominator.

Tap for more steps...

Step 1.1

Multiply $- 0.1$ by $10$ .

$\frac{790}{1 + 7 e^{- 1}}$

Step 1.2

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

$\frac{790}{1 + 7 \frac{1}{e}}$

Step 1.3

Combine $7$ and $\frac{1}{e}$ .

$\frac{790}{1 + \frac{7}{e}}$

Step 1.4

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

$\frac{790}{\frac{e}{e} + \frac{7}{e}}$

Step 1.5

Combine the numerators over the common denominator.

$\frac{790}{\frac{e + 7}{e}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$790 \frac{e}{e + 7}$

Step 3

Combine $790$ and $\frac{e}{e + 7}$ .

$\frac{790 e}{e + 7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{790 e}{e + 7}$

Decimal Form:

$220.96937322 \dots$