A rabbit population doubles every month. If the population starts at 32 rabbits at the end of the first month, how many rabbits will there be after eight months?
Starting with 32 rabbits, the population doubles every month.
After 2 months: 32 * 2 = <<32*2=64>>64 rabbits
After 3 months: 64 * 2 = <<64*2=128>>128 rabbits
After 4 months: 128 * 2 = <<128*2=256>>256 rabbits
After 5 months: 256 * 2 = <<256*2=512>>512 rabbits
After 6 months: 512 * 2 = <<512*2=1024>>1024 rabbits
After 7 months: 1024 * 2 = <<1024*2=2048>>2048 rabbits
After 8 months: 2048 * 2 = <<2048*2=4096>>4096 rabbits. Answer: \boxed{4096}.