1. 4.3 Rational Exponents 2/1/2013

2. Cube Root Perfect Cube 1 = 1 3 8 = 2 3 27 = 3 3 64 = 4 3 125 = 5 3

3. Fourth Root Perfect Fourth 1 = 1 4 16 = 2 4 81 = 3 4 256 = 4 4 625 = 5 4

4. Fifth Root Perfect Fifth 1 = 1 5 32 = 2 5 243 = 3 5 1024 = 4 5 3125 = 5 5

5. Simplifying =5 =2 =5 =3 In general

6. Ex : Radical Form: Vocabulary Rational Exponents: exponents written as fractions In general:

7. Evaluate the expression. Evaluate Expressions with Rational Exponents a. 9 1/2 = 9 = 3 b. 16 1/4 = 2 = 16 4 c. 64 1/3 = 4 = 64 3

8. Ex : Radical Form: Rational Exponent to Radical In general:

9. Rewrite Expressions () 4 3 5 =53/453/4 Rewrite using rational exponents. () 4 3 5 a. b.Rewrite using radicals. 72/572/5 72/572/5 = () 5 2 7

10. Properties of Radicals Product Property: Quotient Property:

11. Use Properties of Radicals a. 3 3 9 3 = 4 3 48 = 2 b. 4 48 3 4

13. Simplifying Rational Exponents. a ma n = a m+n

14. Simplifying Rational Exponents. (a m ) n = a mn

15. Simplifying Rational Exponents.

16. (a b) m =a m b m

17. Simplifying Rational Exponents.

18. Homework: WS 4.3 Even problems