1. 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

2. 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.

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

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

5. 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

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

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

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

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

10. 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:

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