When dividing variables with like bases, you subtract the exponents; for (45x6y2) / (15x2y), 45/15 = 3, x6-2 = x4, and y2-1 = y, so the division is equal to 3x4y.

1. The division property for exponents is: When you are dividing variables with like bases, all you need to do is subtract the exponents. If your variable(s) have a coefficient, just divide/reduce the numbers as usual.For example, (45x6y2) / (15x2y) would be equal to 3x4y since 45/15 = 3, x6-2= x4, and y2-1= y.<br />