Precalculus Examples

$x = 200 e^{- 0.3 \cdot 6.56} + 25$

Step 1

Multiply $- 0.3$ by $6.56$ .

$x = 200 e^{- 1.968} + 25$

Step 2

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

$x = 200 \frac{1}{e^{1.968}} + 25$

Step 3

Combine $200$ and $\frac{1}{e^{1.968}}$ .

$x = \frac{200}{e^{1.968}} + 25$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{200}{e^{1.968}} + 25$

Decimal Form:

$x = 52.94720980 \dots$