Note that four of 15 minutes make one whole hour.
3 hours is three multiplied by four; to count number of 15-minute time periods.
A few parts here are omitted but you can fill them in yourself.
the character, ^, means that the number after it is as an exponent.
Number Expression for
of Number of Exponential
15-Minute Periods Bacteria Form
0 5
1 5*3 5*3^1
2 5*3*3 5*3^2
3 5*3*3*3 .
4 5*3*3*3*3 .
5 5*3*3*3*3*3 .
.
.
12 (three hours)