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Objective: 6.1 Using Properties of Exponents 1 What Is Chapter 6 All About? Short Answer: Polynomials and Polynomials Functions Poly? Nomial? Like chapter 5, except instead of quadratics (x 2 functions and equations) we are going to be using “polynomials”. We will learn: Graphing, finding intercepts, solving, evaluating

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2 What you will learn today… How to use the properties of exponents to evaluate and simplify expressions involving powers. How to use exponents and scientific notation to solve “real-life” problems.

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Objective: 6.1 Using Properties of Exponents 3 A Question for You How many factors of 2 are there in: How would you simplify:

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Objective: 6.1 Using Properties of Exponents 4 Another Question How many powers of two are in: How would you simplify:

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Objective: 6.1 Using Properties of Exponents 5 Rules of Exponents – VERY IMPORTANT!! Product of Powers Power of Power Power of Product Negative Exponents Zero Exponents Quotient of Powers Power of Quotients

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Objective: 6.1 Using Properties of Exponents 6 Evaluating - Examples Evaluate: (2 3 ) 4 (-5) -6 (-5) 4

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Objective: 6.1 Using Properties of Exponents 7 You Try Evaluate each expression. 1. (3 4 ) 2 2. 3. (-2) -3 (-2) 9

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Objective: 6.1 Using Properties of Exponents 8 Simplifying Algebraic Expressions Simplify:

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Objective: 6.1 Using Properties of Exponents 9 You Try Simplify 1.3. 2.

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Objective: 6.1 Using Properties of Exponents 10 A Word Problem The radius of the sun is about 109 times as great as Earth’s radius. How many times as great as Earth’s volume is the sun’s volume? Use:

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Objective: 6.1 Using Properties of Exponents 11 Homework page 326, 16-26 all, 32-40 all, 45, 52

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5.1 Use Properties of Exponents. Properties of Exponents Property NameDefinitionExample Product of Powersa m + a n = a m+n 5 3 + 5 -1 = 5 3 + (-1) = 5.

5.1 Use Properties of Exponents. Properties of Exponents Property NameDefinitionExample Product of Powersa m + a n = a m+n 5 3 + 5 -1 = 5 3 + (-1) = 5.

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