Precalculus Examples

$y = 6.9 e^{- 0.0477 \cdot 6}$

Step 1

Multiply $- 0.0477$ by $6$ .

$y = 6.9 e^{- 0.2862}$

Step 2

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

$y = 6.9 \frac{1}{e^{0.2862}}$

Step 3

Combine $6.9$ and $\frac{1}{e^{0.2862}}$ .

$y = \frac{6.9}{e^{0.2862}}$

Step 4

Replace $e$ with an approximation.

$y = \frac{6.9}{{2.71828182}^{0.2862}}$

Step 5

Raise $2.71828182$ to the power of $0.2862$ .

$y = \frac{6.9}{1.3313587}$

Step 6

Divide $6.9$ by $1.3313587$ .

$y = 5.18267541$