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Mastering Exponents: Essential Properties & Rules for Polynomials

Learn key properties of exponents, such as Product Rule, Quotient Rule, Zero Exponent, Power Rule, flash cards to simplify calculations. Boost your algebra skills now!

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Mastering Exponents: Essential Properties & Rules for Polynomials

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  1. Chapter 5 Section 1 Exponents and Their Properties

  2. 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?

  3. Definition of an Exponent • Recall the following:

  4. Multiply Powers of Same Base • The Product Rule:

  5. Examples • Simplify each of the following

  6. Dividing Powers of Same Base • The Quotient Rule:

  7. Examples • Simplify each of the following

  8. Zero as an Exponent • The Zero Exponent:

  9. Examples • Simplify each of the following

  10. Raising a Power to a Power • The Power Rule:

  11. Examples • Simplify each of the following

  12. Raising a Product to a Power • The Product Rule:

  13. Examples • Simplify each of the following

  14. Raising a Quotient to a Power • The Quotient Rule:

  15. Examples • Simplify each of the following

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