Know and apply the properties of integer exponents to generate equivalent numerical expressions. The basic rule for dividing exponents with the same base is that we subtract the given powers.This is also known as the Quotient Property of Exponents. This 2-pack set of notes has been designed to help students practice each exponent rule in isolation, as well as have a mixed set of practice problems. The Quotient of Powers Property states that when dividing two exponents with the same base, you can subtract the exponents and keep the base. One is that when two numbers with the same base are multiplied, the exponents can be added. The quotient rule for exponents states that when dividing two numbers with exponents, the exponents can be subtracted when the bases are the same.