Chapter 3 – Operations With Exponents and Integers
OBJECTIVES
- Identify the types and properties of exponents.
- Perform arithmetic operations with exponents.
- Identify types of roots.
- Perform computations with roots and fractional exponents.
CHAPTER OUTLINE
3.1 Exponents and Properties (Rules) of Exponents
3.2 Roots, Fractional Exponents, and Negative Exponents
3 Review Exercises
3 Self-Test Exercises
Introduction
In Chapters 1 and 2, we learned that exponents indicate that a number or expression is to be multiplied by a certain number of times. Exponents allow us to perform arithmetic operations more simply than using the standard form of a number. A practical application of exponents is used in calculating compound interest on loans and investments. In this chapter, we will expand upon our knowledge of exponents and look further into the properties of exponents and the relationship between exponents and roots.
Unless otherwise indicated, this chapter is an adaptation of the eTextbook Foundations of Mathematics (3rd ed.) by Thambyrajah Kugathasan, published by Vretta-Lyryx Inc., with permission. Adaptations include supplementing existing material and reordering chapters.