1. Warm–up #3
1. Simplify 3 −8 𝑦 0 𝑥 6 −2 2. Simplify 𝑦 4 𝑤 6

2. Warm–up #3 Solutions
1. Simplify 3 −8 𝑦 0 𝑥 6 −2 = 3 𝑥 6 −8 𝑦 0 2 = 3 𝑥 = 𝑥 4 4

3. Warm–up #3 Solutions
2. Simplify 𝑦 4 𝑤 6 = 𝑦 4 𝑤 6 = 𝑦 2 𝑤 3

4. Homework Log Mon 9/21 Lesson 1 – 7 Learning Objective:
To understand radical & exponential forms
Hw: #111 Pg. 66 #43 – 93 odd

5. 9/21/15 Lesson 1 – 7 Rational Exponents Day 2
Advanced Math/Trig

6. Learning Objective To write radicals in exponential form
To write exponents into radical form

7. Rational Exponents Rational #: ratio of 2 integers (fraction) Define:
Flower Power Roots
(sun)
(roots)

8. Change into radical form
1. 𝑥 5 7 = 7 𝑥 5
2. b 𝑥 4 5 = b 5 𝑥 4

9. Change into radical form
3. 𝑦 2 𝑥 = 9 𝑦 2 𝑥 8 2
4. (5 𝑥 3 ) 1 5 = 5 5𝑥 3

10. Change into exponential form
5. 3 𝑥 8 = 𝑥 8 3
6. 5 𝑥 10 = 𝑥 10 5 = 𝑥 2

11. Change into exponential form
7. 4 𝑎𝑏 𝑐 2 3 = 𝑎𝑏 𝑐 2 3 4
8. 5 𝑎𝑦 3 = (𝑎 𝑦 3 ) 1 5 or = 𝑎 1 5 𝑦 3 5

12. Evaluate
= 4 16 = = 2 −
= −
Easier to do root before power
= − = 9 4

13. Evaluate
− 3 2 = 16 −3 = 4 −3 = = 1 64
− 3 2 = = 25 3 = 5 3 = 125

14. Simplify
13. ( 𝑥 1 4 𝑦 1 5 ) 20 = 𝑥 5 𝑦 4
14. 𝑥 𝑥 𝑥 1 3
Laws of Exponents!
= 𝑥 𝑥 1 3
= 𝑥

15. Simplify
15. ( 𝑥 − 1 3 𝑦 2 3 ) − 3 2 = ( 𝑥 − 1 3 ) − 3 2 ( 𝑦 2 3 ) − 3 2 = 𝑥 1 2 𝑦 −1 = 𝑥 1 2 𝑦
16. 𝑥 1 5 ( 𝑥 4 5 − 𝑥 − 1 5 ) = 𝑥 1 5 ( 𝑥 4 5 )−( 𝑥 1 5 )( 𝑥 − 1 5 ) = 𝑥 − 𝑥 1 5 +(− 1 5 ) = 𝑥− 𝑥 0 = 𝑥 −1

16. Ticket Out the Door Simplify using laws of exponents
( 𝑥 − 𝑦 − ) ( 𝑥 − − 𝑦 − )
Explain what you did and discuss which laws you used

17. Homework
# Pg – 93 odd