I'm going to teach you how to divide exponents that have different bases and where the exponents or powers themselves are also different. In this video, I teach you how to divide exponents (powers) with different bases.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. The Quotient of Powers Property states that when dividing two exponents with the same base, you can subtract the exponents and keep the base. For this video we are going to look at the division properties of exponents and what we need to remember is what is anything. Allegany College of Maryland strives to provide quality education and services in a safe and comfortable environment at a reasonable cost. When exponents with different bases are divided, they can be moved as the exponent of the whole division. You need to adjust the exponents so that they are the same. Then you add the numbers - mantissas.