Know and apply the properties of integer exponents to generate equivalent numerical expressions. This video explains how to simplify a quotient using the divison property of exponents and also how to raise a fraction to a power.When you divide the same base here with exponents you can just subtract the exponents and you get the correct answer without going through. Every time you decrement the exponent. Starting to learn about multiplying exponents? Here's four steps for teaching your students, plus 5 fun activities for practicing them! The Quotient of Powers Property states that when dividing two exponents with the same base, you can subtract the exponents and keep the base. A county charter can provide a local method for filling vacancies on the Board of Supervisors. Cluster: Extend the properties of exponents to rational exponents. For any base a and any integer exponents n and m, aⁿ⋅aᵐ=aⁿ⁺ᵐ.