1. Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4

3. HOMEWORKHOMEWORK

4. Convert from roots to exponents Evaluate Rational exponents

5. Roots and Exponential Notation x mnmn = x x mn n ( ) m

6. 64 4 3 = 64 3 4 Root Power Base

7. Flower Power Root Rule Root Flower/Power 9 3232 Base

8. Change from root notation to exponent notation: 125 2 3 125 2323 n 4 y7y7 ( ) 5 n 5454 y 7272 5 8 5 1818

9. Change from exponent notation to root notation: 32 3 5 32 3535 x9x9 x 9292 y 1313 y 3

10. Flower Power Root Rule Steps Root Flower/Power 9 3 2 1. Take the Root 2. Use the Power 9 = 3 = 3 3 = 27

11. Flower Power Root Rule Steps Root Flower/Power 8 5 3 1. Take the Root 2. Use the Power = 2 = 2 5 = 32 8 3

12. Flower Power Root Rule Steps Root Flower/Power 16 3 4 1. Take the Root 2. Use the Power = 2 = 2 3 = 8 16 4

13. Flower Power Root Rule Steps Root Flower/Power 8 -2 3 1. Take the Root 2. Use the Power 3. If there is a negative exponent, take the reciprocal of your answer 8 3 = 2 = 2 2 = 4 = 1/4

14. Flower Power Root Rule Steps Root Flower/Power 25 -3 2 1. Take the Root 2. Use the Power 3. If there is a negative exponent, take the reciprocal of your answer 25 = 5 = 5 3 = 125 = 1/125

15. Flower Power Root Rule Steps Root Flower/Power 64 6 1. Take the Root 2. Use the Power 3. If there is a negative exponent, take the reciprocal of your answer 64 6 = 2 = 2 1 = 2 = 1/2

16. Assignment: Complete both sides of handout Chapter 11 Rational exponents worksheet Chapter 11 quiz: this week Friday! Chapter 11 test: next week Friday!

17. Quiz Answers