Calculus Examples

$100 (1 - e^{- 0.33 \cdot 2})$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 0.33$ by $2$ .

$100 (1 - e^{- 0.66})$

Step 1.2

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

$100 (1 - \frac{1}{e^{0.66}})$

Step 2

Combine fractions.

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Step 2.1

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

$100 (\frac{e^{0.66}}{e^{0.66}} - \frac{1}{e^{0.66}})$

Step 2.2

Combine the numerators over the common denominator.

$100 \frac{e^{0.66} - 1}{e^{0.66}}$

Step 2.3

Combine $100$ and $\frac{e^{0.66} - 1}{e^{0.66}}$ .

$\frac{100 (e^{0.66} - 1)}{e^{0.66}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{100 (e^{0.66} - 1)}{e^{0.66}}$

Decimal Form:

$48.31486655 \dots$