1 / 43

MULITIPLICATION PROPERTIES OF EXPONENTS

MULITIPLICATION PROPERTIES OF EXPONENTS. September 17, 2012. EXPONENT. means. BASE. Basic Terminology. Important Examples. Variable Expressions. MULTIPLICATION PROPERTIES. This property is used to combine 2 or more exponential expressions with the SAME base. PRODUCT OF POWERS.

jeffreybrewer
Download Presentation

MULITIPLICATION PROPERTIES OF EXPONENTS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MULITIPLICATION PROPERTIES OF EXPONENTS September 17, 2012

  2. EXPONENT means BASE Basic Terminology Important Examples

  3. Variable Expressions

  4. MULTIPLICATION PROPERTIES This property is used to combine 2 or more exponential expressions with the SAME base. PRODUCT OF POWERS

  5. A. 46 •68 k 8 + 10 k 18 I DO: Multiplying Powers with the Same Base Multiply. Write the product as one power. Add exponents. B. k8 •k10 Add exponents.

  6. 1 Think: 7 = 7 7 6 + 1 7 7 18 9 + 11 18 20 WE DO : Multiplying Powers with the Same Base Multiply. Write the product as one power. C. 76 • 7 Add exponents. D.189• 1811 Add exponents.

  7. A. 35 •32 3 5 + 2 3 7 c 22 + 11 c 33 YOU DO: Multiply. Write the product as one power. Add exponents. B. c22 •c11 Add exponents.

  8. This property is used to write an exponential expression as a single power of the base. MULTIPLICATION PROPERTIES POWER TO A POWER

  9. Reading Math 4 5 (9 ) is read as “nine to the fourth, to the fifth.” RAISING A POWER TO A POWER

  10. I DO: Raising a Power to a Power Simplify. A. (10-2)2 (10-2)2 = 10-2 • 2 Multiply exponents. = 10-4 B. (612)4 (612)4 Multiply exponents. = 612 • 4 = 648

  11. WE DO: Simplify. A. (311)4 (311)4 = 311 • 4 Multiply exponents. = 344 B. (415)2 (415)2 Multiply exponents. = 415 • 2 = 430

  12. YOU DO: Simplify. A. (912)6 (912)6 = 912 • 6 Multiply exponents. = 972 B. (11-4)2 (11-4)2 Multiply exponents. = 11-4 • 2 = 11-8

  13. To find a power of a product, find the power of EACH factor and multiply. • I DO: Power of a Product Property

  14. Practice Power of a Product Property • We DO: • You Do:

  15. MULTIPLICATION PROPERTIES PRODUCT OF POWERS ADD THE EXPONENTS POWER TO A POWER SUMMARY MULTIPLY THE EXPONENTS

  16. Product of Powers Property—To multiply powers that have the same base, ADD the exponents. • Power of a Power Property—To find a power of a power, multiply the exponents. • Power of a Product Property—To find a power of a product, find the power of each factor and multiply. Review Multiplication Properties of Exponents

  17. Place the numbers at in any spot on you MATHO card. • Be sure to show all your work for each problem to get participation points. • 1st Winner 3rd Winner 2nd Winner Exponent MATHO

  18. 1. n3n4

  19. 2. 8 • 88

  20. 3. (33)4

  21. 4. 33 • 32 • 35

  22. 5.412 • 417

  23. 6. (172) –20

  24. 7. x5 • y2

  25. 8.x2 •x3

  26. 9. (67)9

  27. 10. (134) –10

  28. 11. 42 •44

  29. 12. 25 • 2

  30. 13. (54)2

  31. 14. (9-8)9

  32. 15.244 • 244

  33. 16. n5 •n7

  34. 17. (48)2

  35. 18. 86 •83

  36. 19. 46 • 44 • 42

  37. 20. 66 •63

  38. 21. 126 •1210

  39. 22. (105)-6

  40. 23. 911 •9-3

  41. 24. (108)6

  42. 25. 86 •8-12

More Related