Evaluate e^-1-1

$e^{- 1} - 1$

Step 1

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

$\frac{1}{e} - 1$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{e}{e}$ .

$\frac{1}{e} - 1 \cdot \frac{e}{e}$

Step 3

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

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

Step 4

Combine the numerators over the common denominator.

$\frac{1 - e}{e}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1 - e}{e}$

Decimal Form:

$- 0.63212055 \dots$