Exponential Growth of Bacteria

A population of a certain species of bacteria grows exponentially. At time $t = 0$ hours, the population is 100 bacteria. The population doubles every 3 hours. The function representing the population $P(t)$ of the bacteria at time $t$ in hours is given by:

$$P(t) = 100 imes 2^{t/3}$$

Determine the population of the bacteria after 9 hours.