Calculus Examples

$100 (1 - e^{- 0.3})$

Step 1

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

$100 (1 - \frac{1}{e^{0.3}})$

Step 2

Simplify the expression.

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Step 2.1

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

$100 (\frac{e^{0.3}}{e^{0.3}} - \frac{1}{e^{0.3}})$

Step 2.2

Combine the numerators over the common denominator.

$100 \frac{e^{0.3} - 1}{e^{0.3}}$

Step 3

Combine $100$ and $\frac{e^{0.3} - 1}{e^{0.3}}$ .

$\frac{100 (e^{0.3} - 1)}{e^{0.3}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{100 (e^{0.3} - 1)}{e^{0.3}}$

Decimal Form:

$25.91817793 \dots$