1. Exponents and Their Properties Section 5.1

2. Overview Multiplying Powers with Like Bases Dividing Powers with Like Bases Zero as an Exponent Raising a Power to a Power Raising a Quotient to a Power

3. Exponents If asked to “simplify” a problem, then write answer as one base to one power, if possible But if you have a both the base and power are numbers, then solve Base Power

4. Multiplying Powers with Like Bases Product Rule:

5. Multiplying Powers with Like Bases

6. Dividing Powers with Like Bases Quotient Rule – for any nonzero number a,

7. Dividing Powers with Like Bases

8. Zero as an Exponent The Exponent Zero – for any real number a, a≠0,

9. Zero as an Exponent

10. Raising a Power to a Power The Power Rule:

11. Raising a Power to a Power

12. Raising a Product to a Power

14. Raising a Quotient to a Power For any numbers a and b, b ≠ 0,

15. Definitions and Properties of Exponents