Astrainofbacteriahasameandivisiontimeof40minutes.Agroupof2bacterialcellsarelefttogrow.Howmanybacterialcellswilltherebeattheendof8hours?

Sure, let's break this down:

1. First, we need to figure out how many division cycles the bacteria will go through in 8 hours. Since each division cycle takes 40 minutes, we divide the total time in minutes by the length of one cycle. There are 60 minutes in an hour, so 8 hours is 480 minutes. 480 divided by 40 is 12, so there will be 12 division cycles.

2. The bacteria start as a group of 2. In each division cycle, each bacterium divides and becomes 2 bacteria. So, after one cycle, there are 2 * 2 = 4 bacteria. After two cycles, there are 4 * 2 = 8 bacteria. After three cycles, there are 8 * 2 = 16 bacteria, and so on.

3. To find the total number of bacteria after 12 cycles, we can use the formula for exponential growth: N = N0 * 2^n, where N is the final number of bacteria, N0 is the initial number of bacteria (2 in this case), and n is the number of division cycles (12 in this case).

4. Plugging in the numbers, we get N = 2 * 2^12 = 2 * 4096 = 8192.

So, there will be 8192 bacterial cells at the end of 8 hours.