For this video we are going to look at the division properties of exponents and what we need to remember is what is anything. To simplify expressions with exponents, there are a few properties that may help.The Quotient of Powers Property states that when dividing two exponents with the same base, you can subtract the exponents and keep the base. The operation is division and the bases are the same. Therefore, subtract the exponents and use 7 as the base. When you divide the same base here with exponents you can just subtract the exponents and you get the correct answer without going through. Division Properties of Exponents (continued). This property states that when dividing two powers with the same base, we subtract the exponents. This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. Here you will learn about exponents, division and multiplication of polynomials as well as addition and subtraction of rational expressions.