For this video we are going to look at the division properties of exponents and what we need to remember is what is anything. A quantity with an exponent has three components--the base, the exponent, and the coefficient.Adding and Subtracting Quantities with Exponents. We're gonna take a look at the vision properties of exponents and this should be pretty straightforward because it just builds upon what happens when we multiply. To simplify expressions with exponents, there are a few properties that may help. Here's our little second lesson this one is on the division property of exponents less than 7.2 so find this page in your notes. Cluster: Extend the properties of exponents to rational exponents. Standards. Clarifications.