1. 4 minutes
Warm-Up
Simplify 1) 2) 3) 4)

2. 4.1 Exponents Objectives: To multiply numbers in exponential form
To divide numbers in exponential form
To simplify expressions with negative exponents

3. Multiplying Powers with Like Bases
For any rational number a, and for all whole numbers m and n,

4. Example 1
Simplify. Express using exponents. a) b) c) d)

5. Practice
Simplify. Express using exponents. a) b) c) d)

6. Dividing Powers with Like Bases
For any rational number a except 0, and for all whole numbers m and n,

7. Example 2
Simplify. Express using exponents. a) b) c)

8. Practice
Simplify. Express using exponents. a) b) c)

9. Negative Exponents
For any rational number a except 0, and for all whole numbers m and n,

10. Example 3
Express using positive exponents. a) b) c) d)

11. Practice
Express using exponents. 1) 2) 3)

12. The Exponent Zero
a0 = 1 for any rational number a except 0.

13. Example 4
Simplify. a) b) c) d)

14. Practice
Simplify. 1) 2) 3)