A type of bacteria has an exponential grow rate at 70% every hour, what is the number of bacteria after 10 hr, 1 day and 3 days.

We'll write the relation that allows to determine the
population of bacteria, at specific time.

Population =
Initial Population*(1+growth percentage)^time period in
hours.

In this case, we'll
have:

Population =
5*(1+70/100)^n

Population =
5*[(100+70)/100]^n

Population =
5*(1.7)^n

We'll calculate the population in 10
hours:

Population =
5*(1.7)^10

Population =
5*201.5993900449

We'll calculate the population in 1 day
= 24 hours:

Population =
5*(1.7)^24

We'll calculate the population in 3 days = 3*24
hours:

Population =
5*(1.7)^72

Population(10 hours) =
5*(1.7)^10

Population(1 day) =
5*(1.7)^24

Population
(3days) = 5*(1.7)^72