One way to develop an appreciation for exponents is to write the problem without using them. Break the coefficients up into products of primes and spread out the variables.

When we cancel. the factors that survive are

This illustrates the rules for dealing with exponents. When dividing powers of the same base, we subtract the exponents. In this case when we take away the 4 factors of x in the bottom from the 2 factors of x in the top we ate left with negative 2 factors or 2 factors in the bottom. With the y's, when we take the 3 factors in the bottom away from the 5 factors in the top, we are left with 2 factors in the top.