Precalculus Examples

$2.1 (1 - e^{- 0.69 \cdot 3})$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 0.69$ by $3$ .

$2.1 (1 - e^{- 2.07})$

Step 1.2

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

$2.1 (1 - \frac{1}{e^{2.07}})$

Step 2

Simplify the expression.

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Step 2.1

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

$2.1 (\frac{e^{2.07}}{e^{2.07}} - \frac{1}{e^{2.07}})$

Step 2.2

Combine the numerators over the common denominator.

$2.1 \frac{e^{2.07} - 1}{e^{2.07}}$

Step 3

Multiply $2.1 \frac{e^{2.07} - 1}{e^{2.07}}$ .

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Step 3.1

Combine $2.1$ and $\frac{e^{2.07} - 1}{e^{2.07}}$ .

$\frac{2.1 (e^{2.07} - 1)}{e^{2.07}}$

Step 3.2

Multiply $2.1$ by $e^{2.07} - 1$ .

$\frac{14.54212854}{e^{2.07}}$

Step 4

Replace $e$ with an approximation.

$\frac{14.54212854}{{2.71828182}^{2.07}}$

Step 5

Raise $2.71828182$ to the power of $2.07$ .

$\frac{14.54212854}{7.92482311}$

Step 6

Divide $14.54212854$ by $7.92482311$ .

$1.83500985$