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Chapter 5 Section 1. Exponents and Their Properties. The Properties.
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Chapter 5 Section 1 Exponents and Their Properties
The Properties • When working with exponents we need to learn some basic properties that will aid us in our work with polynomials, the main topic of this chapter. The properties of exponents are to algebra as multiplication tables are to arithmetic. In both cases they are basic facts that need to be top of the head knowledge. • So, how about some flash cards?
Definition of an Exponent • Recall the following:
Multiply Powers of Same Base • The Product Rule:
Examples • Simplify each of the following
Dividing Powers of Same Base • The Quotient Rule:
Examples • Simplify each of the following
Zero as an Exponent • The Zero Exponent:
Examples • Simplify each of the following
Raising a Power to a Power • The Power Rule:
Examples • Simplify each of the following
Raising a Product to a Power • The Product Rule:
Examples • Simplify each of the following
Raising a Quotient to a Power • The Quotient Rule:
Examples • Simplify each of the following