1. n n n n Objective- To recognize the properties of exponents and use them to simplify expressions. x 3 x x x = exponent base Rule of Common Bases x a = x b x a + b n 3 = n 2 n 3 + 2 Example: = = n 5 n 5

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

3. Simplify. 1) 2) 3)

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

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

6. Simplify. 1) 2)

7. Simplify and name the rule that justifies each step. StatementReason Given Power to Power Rule Rule of Common Bases Combine Like Terms

8. Simplify. 1) 2)