Suppose a single bacterium is placed in a bottle at 11:00 am. It grows and at 11:01 divides into two bacteria. These two bacteria each grow and at 11:02 divide into four bacteria, which grow and at 11:03 divide into eight bacteria, and so on. Now, suppose the bacteria continue to double every minute and the bottle is full at 12:00. How many bacteria are in the bottle at
11:52 ?
What fraction of the bottle is full at that time?
There will be
bacteria in the bottle at 11:52
.
(Type your answer using exponential notation.)
The bottle will be full at