A machine uses 4 ^ 3 beads to make one bracelet. If at the end of the week the machine processed 4 ^ 9 beads, how many bracelets were made?

The machine made 4,096 bracelets.

Step-by-step explanation:

1. Find out what 4^3 and 4^9 is:

4^3 = 64

it takes 64 beads to make 1 bracelet

4^9 = 262144

the machine processed 262144 beads at the end of the week

2. Divide 262144 by 64 to find out how many bracelets were made

262144/64 = 4,096

Therefore, the machine had made 4,096 bracelets by the end of the week