1.  Warm-Up

2.  Homework Questions

3. 

4. EQ: How do we apply properties of rational exponents? Mastery demonstrated in writing in summary of notes and in practice problems.

5.   Let a and b be real numbers and let m and n be rational numbers. The properties of rational exponents are the same as the properties of exponents you learned in Unit 3 (Chapter 5). Properties of Rational Exponents

6. 

7. EXAMPLE 1 Use properties of exponents = 12 –1 Use the properties of rational exponents to simplify the expression. b. (6 1/2 4 1/3 ) 2 = (6 1/2 ) 2 (4 1/3 ) 2 = 6 1 4 2/3 = 6 4 2/3 = 6( 1/2 2 ) 4( 1/3 2 ) a. 7 1/4 7 1/2 = 7 (1/4 + 1/2) = 7 3/4 = 12 [5 (–1/5)] c. (4 5 3 5 ) –1/5 = [(4 3) 5 ] –1/5 = (12 5 ) –1/5 1 12 = d. 5 5 1/3 = 5 (1 – 1/3) = 5 2/3 5151 5 1/3 =

8.  Properties of Radicals A radical with index n is in simplest form if the radicand has no perfect n th powers as factors and any denominator has been rationalized.

9.  Example 2

10.  Example 3 and 4

11.  Example 5

12.   Page 424 # 5-65 (5)  Write up Cornell notes questions and summary! Homework