Multiplication Properties of Exponents

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

x x x x x x x n n n n n n n n n n = = = = = exponent base 3 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 =

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

Simplify. 1) 2) 3)

( ) ( ) 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 = =

Simplify. 1) 3) 2) 4)

Simplify. 1) 2)

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

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

Simplify. 1) 2)