1. Chapter 7: Exponential Functions
7.1 & 7.2
Laws of Exponents
Zero and Negative Exponents

2. The Product Rule
When multiplying exponential expressions with the same base, add the exponents.

3. Multiply each expression using the product rule

4. Multiply each expression using the product rule

5. Multiply each expression using the product rule

6. The Quotient Rule
When dividing exponential expressions with the same non-zero base, subtract the exponents.

7. Divide each expression using the quotient rule

8. Divide each expression using the quotient rule

9. Divide each expression using the quotient rule

10. Zero as an exponent
Any real number (other than zero) raised to the zero power is 1.
Show b^4/b^4

11. The Negative-Exponent Rule
Show this: b^3/b^5

12. Use the negative-exponent rule to write each expression with a positive exponent.

13. Use the negative-exponent rule to write each expression with a positive exponent.

14. Use the negative-exponent rule to write each expression with a positive exponent.

15. The Power Rule (Powers to Powers)
When an exponential expression is raised to a power, multiply the exponents.

16. Simplify each expression using the power rule

17. Simplify each expression using the power rule

18. Simplify each expression using the power rule

19. Products to Powers
When a product is raised to a power, raise each factor to that power.

20. Simplify

21. Simplify

22. Quotients to Powers
When a quotient is raised to a power, raise the numerator and denominator to that power, divide to simplify if necessary

23. Simplify

24. Simplify

25. Simplifying Exponential Expressions
An exponential expression is ___________ when:
No parenthesis appear
No powers are raised to powers
Each base occurs only once
No negative or zero exponents appear
Note: Simplify in this order!

26. Simplify

27. Simplify

28. Simplify

29. Simplify

30. Homework
Exercise Set P.3 #1 – 63 odd