1. Multiplication Properties of Exponents

2. Objective - To recognize the properties of exponents and use them to simplify expressions.

3. x x x x x x x n n n n n n n n n n = = = = = exponent base3 x
x x x =
base
Rule of Common Bases a b
a + b x x x =
Example: 3
3 + 2 n n 2 n n 5 = =
n n n
n n n 5 =

4. Simplify. 1) 4) 2) 5) 3) 6)

5. Simplify. 1) 2) 3)

6. ( ) ( ) x x n n n (n n n) (n n n) (n n n) n Power to Power Rule = = =
( ) b a ab x x =
Example: 2
( ) 3
3 2 6 n n n = = 2
(n n n)
(n n n)
(n n n) 6 n = =

7. Simplify. 1) 3) 2) 4)

8. Simplify. 1) 2)

9. The Distributive Property of Exponents over Multiplication
( ) n
Axy
Anxnyn =
Example:

10. Simplify and name the rule that justifies each step.
Statement
Reason
Given
Dist. Prop of Exp. & Power to Power Rule
Rule of Common Bases
Combine Like Terms

11. Simplify. 1) 2)