1. Integer Exponents Day 1

2. Definitions  Base: The term/variable of which is being raised upon  Exponent: The term/variable is raised by a term. AKA Power BASE EXPONENT

4. Example 1

5. 5 Example 2

6. 6 Example 3

7. Solve:

8. Laws of Exponents https://www.youtube.com/watch?v=QIZTru xt2rQ

9. Any number raised to the first power is … 3 1 = 87 1 = 528921 1 = Rule : Any number raised to the first power is itself. (a 1 = a)

10. Any number raised to the power of zero is ONE! 3 0 = 87 0 = 528921 0 = Rule: a 0 = 1

11. Negative Power Property  Saying goes: NO NEGATIVE POWERS What are the base(s) and the power(s)?

12. Negative Power Property

14. Practice 1) (-4) 2 2) 7 3 3) -5 4 4) 10 1 5) 9 5 6) (-2) 0 7) (-2) -1 8) 0 -3 9) 3 -4 10) (¼) 0

15. Product Rule  Saying goes: BASE, BASE, ADD If the BASES are same, ADD the powers What are the base(s) and the power(s)?

16. Product of a Power

19. Quotient Power Property  Saying goes: When dividing an expression with a power, SUBTRACT the powers. They must have the same base in order to subtract. What are the base(s) and the power(s)?

20. Quotient Power Property

22. =

23. Power of a Power  Saying goes: POWER, POWER, MULTIPLY If the POWERS are near each other, MULTIPLY the powers – usually deals with PARENTHESES What are the base(s) and the power(s)?

24. Power of a Power

27. Power of a Product  Saying goes: DISTRIBUTE THE POWER TO THE BASES What are the base(s) and the power(s)?

28. Power of a Product How many bases does this problem have?

29. Properties of Exponents  Negative Power Property:  Product of a Power:  Power of a Power:  Quotient Power Property:

30. Do Now – December 6 th NO CALCULATOR 1. Solve: 0.2x = 7 - 0.8x 2. 6 -3 3. -4 0 4. (-8) 2 5. -3 4