1. Section 1.2 Exponents & Radicals Objectives: To review exponent rules To review radicals To review rational exponents

2. Integer Exponents a n = a · a · · · · · a The number a is called the base and n is called the exponent.

3. Ex 1. Simplify

4. Zero & Negative Exponents If a ≠ 0 is any real number and n is a positive integer, then a 0 = 1 and a –n =

5. Ex 2. Simplify 1

6. Laws of Exponents LawExample 1) 2) 3) 4) 5)

7. Class Work Simplify 1. 2. 3.4. 5.

8. Laws for Negative Exponents LawExample 6. 7.

9. Ex 3 Simplify a)b)

10. Class Work 6. 7.

11. Radicals The symbol √ means: “the positive square root of.” Thus,

12. n th Roots If 2 4 = 16, then it follows that. If n is any positive integer, then the principal nth root of a is defined as follows: If n is even, we must have a ≥ 0 and b ≥ 0.

13. Ex 4. Simplify a) b) c) d)

14. Properties of n th Roots PropertyExample 1. 2. 3.

15. PropertyExample 4. 5.

16. Ex 5. Simplify

17. Class Work 8. 9. 10.

18. Rational Exponents For example, and, For example,

19. Ex 6. Simplify

20. Class Work 11. 12. 13. 14.

21. HW #2 p21 1-7odd, 9,12,15,17,23-43odd, 45-65eoo, eoo – every other odd