In this section, we will look at the exponent properties for division. Here you will learn about exponents, division and multiplication of polynomials as well as addition and subtraction of rational expressions.The operation is division and the bases are the same. Therefore, subtract the exponents and use w as the base. 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 quotient rule for exponents states that when dividing two numbers with exponents, the exponents can be subtracted when the bases are the same. This 2-pack set of notes has been designed to help students practice each exponent rule in isolation, as well as have a mixed set of practice problems. Mathematics to deal with issues that come up in their lives. An exponent records the number of identical factors in a multiplication. Describe any patterns noticed in the examples above: Use the observed patterns above to complete the following exponent rules.