What is the correct simplification? 24. Reasoning The division property of exponents says that to simplify powers with the same base you subtract the exponents.This document provides examples and explanations for simplifying expressions involving powers and scientific notation. For this video we are going to look at the division properties of exponents and what we need to remember is what is anything. A quantity with an exponent has three components--the base, the exponent, and the coefficient. Adding and Subtracting Quantities with Exponents. In this tutorial I will walk you through how to solve equations that have exponential expressions. In this section, we will define the Negative Exponent Rule and the Zero Exponent Rule and look at a couple of examples. But when you multiply and divide, the exponents may be different, and sometimes the bases may be different, too. For this lesson, we are going to continue to consider the properties of exponents.