We'll cover the rule, demonstrate its application through various examples, and provide downloadable worksheets for further practice. 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. (2) Students will develop understanding of why division procedures work based on the meaning of base-ten numerals and properties of operations. The quotient rule for exponents states that when dividing two numbers with exponents, the exponents can be subtracted when the bases are the same. 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 charter school applicant acknowledges that, if approved to operate a charter school, it must execute a charter contract with the Utah State.