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.In the examples, the bases are varying rational numbers. A. The bases are the same, so subtract the exponents. b. Rewrite the numerator and denominator to show the factors. In this video I want to do a bunch of examples involving exponent properties. The Quotient of Powers Property states that when dividing two exponents with the same base, you can subtract the exponents and keep the base. This course provides a calculus-based introduction to probability theory and its applications. Brahmagupta, 197 Indeterminate Equations, 199 Bhaskara, 200.