Question

a bacterical cell doubles itself after every 1 hour . how many cells will there be after 8 hours ?

Answer 1

Answer:

Given Initially there is 1 cell.

Given that the cells of a bacteria double itself every hour = 1 + 1

= 2.

= 2^{1}=2

1

Therefore the total number of cells in 12 hours :

2^{1} * 2^{1} * 2^{1} * 2^{1} * 2^{1} * 2^{1} * 2^{1} * 2^{1} * 2^{1} * 2^{1} * 2^{1}* 2^{1}2

1

∗2

1

∗2

1

∗2

1

∗2

1

∗2

1

∗2

1

∗2

1

∗2

1

∗2

1

∗2

1

∗2

1

= 2^{1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1}=2

1+1+1+1+1+1+1+1+1+1+1+1

= 2^{12}=2

12