Mathematics is so much more than memorizing rules. It is learning to reason, to make connections, and to make sense of the world.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. In the first five chapters of the series, students learn how to use the machine while reviewing basic operations with whole. Use the Properties to Divide Exponents. So too, the first time a site school is mentioned in a chapter, wesupply its complete name and location. Pleasant Hill, Portland, Reno, Sacramento, San Jose, San Leandro, Spokane, Stockton, and Tucson.