For a complete lesson on the quotient rule, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn the quotient rule, which states that when dividing two powers that have the same base, subtract the exponents. For example, (x^9)/(x^5) = x^4. To divide (8d^5)/(4d^3), divide the coefficients and subtract the exponents, to get 2d^2.