Consider the expression [a^2bc^3b^2]/[a^(-3)b^5ca]. Combine like variables in the numerator and the denominator. When you multiply like variables together, you add the exponents together. The result will be: [a^2b^3c^3]/[a^(-2)b^5c].
Divide the like variables in the numerator by their counterparts in the denominator. When you divide like variables, you subtract the exponents. After you do this, the example from Step 1 will read a^4c^2/b^2. The reason that b moves to the denominator is that the b-exponent is -2. You could also write the expression as a^4b^(-2)c^2, and it would be equivalent.
Remove any zero-value exponents by treating them as the number 1. Any variable or constant raised to the zero power is equivalent to 1, by definition. So, if you have x^2 in the numerator and the denominator, they cancel each other out.