1. Exponent Rules – Day 1 Zero and Negative Exponents

2. Zero Exponents Anything with an exponent of zero reduces to 1. Examples:

3. Negative Exponents If an exponent is negative, you can make it positive by moving it. If it is in the denominator, move it to the numerator. If it is in the numerator, move it to the denominator.

4. Examples

5. Simplifying Exponents Simplify each exponent

6. Simplifying Exponential Expressions Simplify each expression

7. Evaluating an exponential expression Do not forget to follow the order of operations (PEMDAS) Evaluate if:

8. Examples Evaluate the following expressions if n = -2 and w = 5.

9. Quick Check: Make sure you understand! Simplify each expression: Evaluate for x = 3, y = -2

10. Homework! Practice! Study! Big Green pg. 397 (2 - 44 even)

11. Exponent Rules – Day 2 Scientific Notation

12. Scientific Notation Rules In the form: n is an integer a is between 1 and 10 Examples:

13. Scientific Notation or not?

14. Writing a number in Scientific Notation If the number is very large (>1) the exponent will be positive If the number is very small (<1) the exponent will be negative Why?

15. Examples 56,900,000 0.00985

16. Examples 267,000 0.0000325

17. Writing a number in standard notation

18. More examples

19. Ordering Numbers Put the numbers in scientific notation Order the powers of 10 Arrange decimals of the same power of 10 in order Write the original numbers in order

20. Examples

22. Multiplying a number in scientific Notation

23. Examples

24. Homework! Practice! Study! Big Green pg. 402-403 (2 - 40 even)

25. Exponent Rules: Day 3 Multiplication Properties of Exponents

26. Multiplying Powers with the same base If the bases are the same, you can add the exponents. Examples:

27. More examples

28. Multiplying Powers in an expression

29. More Complex Examples

30. Multiplying Numbers in Scientific Notation

31. More Examples

32. Quick Check: Make sure you understand! Simplify:

33. Homework! Practice! Study! Big Green pg. 407 – 408 (8 - 26 even) (32 - 50 even)

34. Exponent Rules: Day 4 Dealing with Powers of exponents

35. Raising a Power to a Power When raising an exponent to an exponent, multiply the exponents together. Example:

36. More Examples

37. More Complex Examples

38. Raising a product to a power Apply the power rule (multiply the exponents) to each factor in the parentheses. Example:

39. Examples

40. More Complex Examples

41. More complex examples

42. Scientific Notation Examples

43. More Scientific Notation Examples

44. Homework! Practice! Study! Big Green pg. 413-414 (2 - 30 even) (42 – 50 even)

45. Exponent Rules: Day 5 Division Properties of Exponents

46. The Division Rule When dividing exponents of the same base; subtract the exponents Example:

47. Examples:

48. More Examples

50. Scientific Notation Examples

51. Raising a quotient to a power Raise everything within the parenthesis to the power! Example:

52. Examples

53. More Complex Examples

54. All Exponent Rules Combined!

55. Homework! Practice! Study! Big Green pg. 420-421 (10 - 18 even) (30 - 48 even) (52 - 58 even)