Question

In a Petri dish a certain type of bacterium doubles in number every 40 minutes,there were originally 64,or 2^6,bacteria in the dish after 20 minutes,the number of bacteria has doubled 3 times,multiplying by 2^3.Now the population of bacteria is 2^6•2^3. Expressed as a power,how many bacteria are in the Petri dish after 120

Answer 1

its 2-9

Explanation:

Answer 2

`Population = 2^(24)`

Explanation:

Given

`Initial = 2^(6)`

Increment = doubles every 40 minutes

Required

Determine the population after 120 minutes

First, we need to determine the fraction of 120 to 40

`Fraction = (120)/(40)`

`Fraction = (3)/(1)`

`Fraction = 3`

If for every 40 minutes, we have:

`Population = 2^6*2^6`

We'll have:

`Population = 2^6 * 2^(6 * 3)` at the 120the minute

`Population = 2^6 * 2^(18)`

Apply law of indices

`Population = 2^(6+18)`

`Population = 2^(24)`