Exponential Function Solution Equation - Decay (Continuous, Mis-matched Time Units) Equation to Starting Value

Question

Rearrange this equation to solve for the starting population given this model of a a continuously declining bacteria population?

$$163 =P_0\cdot e^{(-0.02\cdot 8 \cdot 7)}$$

Accepted Answer

$$P_0 = \frac{163}{e^{(-0.02\cdot 8 \cdot 7)}}$$

Answer

$$P_0 = \frac{e^{(-0.02\cdot 8 \cdot 7)}}{163}$$

Answer

$$P_0 = \frac{163}{e^{(\frac{-0.02}{\frac{8}{7}})}}$$

Practice: Exponential Function Solution Equation - Decay (Continuous, Mis-matched Time Units) Equation to Starting Value