Bacteria can divide in every 20 minutes.so 1 bacterium can multiply to 2 in 20minutes.4 in 40 minutes and so on.how many bacteria will there be in 6 hours? Write answer using exponents and then evaluate

Dear student
It is given that after every 20 minutes 1 bacteria divides into 2.ie, 2 in  20 minutes,4=22 in 40 minutes,8=23 in 60 minutes etc.So, in 1 hour bacteria will divides 3 timesand in 6 hours bacteria will divides 6×3=18 timesSo, bacteria after 6 hours will be 218. 
Regards

  • 2
Ok.
  • -4
Let us see the pattern
2, 4, 8, 16, 32, 
Actually it is the powers of 2
2^1 = 2
2^2 = 4
2^3 = 8
etc
It is 6 hours and as 1 hour = 60 mins so 6 hours = 60 * 6 = 360 minutes
Now we will divide 360 by 20 which comes to 18
Now 2^18 is ​262144 {I have copied this from calculator not from internet}
So there would be ​262144 bateria after that.
  • 6
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