2. Exponent Law #3

3. Remember #1 and #2 In general: 1. X a X X b = X a + b In general: 2. X a X b = X a - b

4. 3. Power of Powers Expand the following: Sometimes the base you are expanding is a power itself! 2 3 =2 X 2 X 2

5. Expand the following: Expand this in the same way (2 2 ) 3 2 2 X 2 2 X 2 2 = = 2 X 2 X 2 X 2 X 2 X 2 Which can be written as … = 2 6 How many 2s are you multiplying?...

6. Examine the exponents (2 2 ) 3 = 2 6 What can you do with 2 and 3 to get 6? Multiply! Correct! This property is true for all power of powers with the same base.

7. Reduce the following to a single power (2 7 ) 2 = 1. 2 7 X 2 = 2 14 (4 3 ) 4 = 2. 4 3 X 4 = 4 12 (5 6 ) 3 = 3. 5 6 X 3 = 5 18

8. In General: EL #3 Let X be any base Let a and b be any exponent (X a ) b = X (ab)

9. Congratulations!! You have just mastered the third exponent law stop here

10. Page 127 6, 7 [8,9] odd 10