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 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. Exponentiation is written as bn, where b is the base and n is the power; often said as "b to the power n". The quotient rule for exponents states that when dividing two numbers with exponents, the exponents can be subtracted when the bases are the same. 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 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. Properties, exponents and geometric thinking.