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MULITIPLICATION PROPERTIES OF EXPONENTS

Learn how to apply key exponent rules for multiplying powers with the same base, power to a power operations, and product of powers with adding exponents. Practice simplifying exponential expressions and mastering these fundamental concepts.

jeffreybrewer
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MULITIPLICATION PROPERTIES OF EXPONENTS

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  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

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