For this video we are going to look at the division properties of exponents and what we need to remember is what is anything. The Quotient of Powers Property states that when dividing two exponents with the same base, you can subtract the exponents and keep the base.To simplify expressions with exponents, there are a few properties that may help. To simplify expressions with exponents, there are a few properties that may help. Veterans wanting certification for their studies must fill out the appropriate documents.