Understanding Math - Introduction to Exponents

In this book we introduce exponents and discuss their basic properties. We explain how to properly handle the use of positive, negative, fractional (square roots, etc.), and decimal values for exponents and demonstrate the meaning of each through several examples. The rules for exponent addition, subtraction, and multiplication presented in a clear, step-by-step manner. Special cases such as exponents of 1 and 0 are also considered and explained at length. The goal of this book is to teach students a practical way of thinking about what exponents are and how they work, in an approach suitable for all. Many examples are given throughout to aid in the understanding and execution of new concepts; we strongly believe in teaching by examples, and that repetition is the best way to internalize new ideas. Each example intends to guide the student through the thinking process without skipping steps and touches on all of the new material presented.