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Lesson 13.1 Skills Practice Name_________________________________________________________ Date__________________________ Exponentially Speaking Powers and Exponents Vocabulary Write the term that best completes each statement. 1. The of a power is the number of times that the factor is repeatedly multiplied. 2. An expression used to represent a factor as repeated multiplication is called a 3. The . of a power is the repeated factor in a power. Problem Set State the base and the exponent of each power. 1. 94 2. 102 © 2011 Carnegie Learning The base is 9 and the exponent is 4. 3. 186 4. 27 5. 2119 6. 2483 7. (215)2 8.(214)6 9. 73x3 10.(13x)2 11. (222y)4 12.2(71y)5 Chapter 13 Skills Practice • 869 Lesson 13.1 Skills Practice page 3 Name_________________________________________________________ Date__________________________ Write each expression in expanded notation and evaluate to calculate the product. 27. (4)2(25)3 28. (24)4(7)2 The expanded notation is (4)(4)(25)(25)(25) 5 22000. 29. (2)5(26)2 30. (22)5(8)3 31. 2(3)6(2)4 32. 2(6)3(4)2 33. 2(4)3(8)2 34. 2(5)3(9)2 Write each expression in expanded notation. 35. 3 2 x3 36. 2 5y2 © 2011 Carnegie Learning The expanded notation is (3)(3)(x)(x)(x). 37. 5 2 y4 38. x 5 z2 Chapter 13 Skills Practice • 871 Lesson 13.1 Skills Practice page 5 Name_________________________________________________________ Date__________________________ Write each expression using exponents. 53. (7)(7)(7)(7) 54. 2 2 2 2 2 2 2 2 The power is 7 . 4 55. 4 4 4 4 4 4 56. (5)(5)(5)(5) 57. (23)(23)(23)(23)(23) 58. 29 29 29 29 29 29 29 59. 24 24 24 24 24 60. 2(6)(6)(6)(6) 61. 22 2 2 2 2 2 2 2 62. 25 5 5 Write each expression using exponents. 63. y y y y y 64. x x x x x x x x x The power is y . © 2011 Carnegie Learning 5 65. (a)(a)(a)(a)(a)(a)(a) 66. b b b b b b 67. 2z 2z 2z 2z 68. (2m)(2m)(2m)(2m)(2m)(2m) 69. 2b 2b 2b 2b 2b 70. 2n n n n n 71. 2(x)(x)(x)(x) 72. 2y y y y y y y y Chapter 13 Skills Practice • 873 Lesson 13.2 Skills Practice Name_________________________________________________________ Date__________________________ Digital Storage Multiplying and Dividing Powers Problem Set Write each expression in expanded form. 1. 5 2 54 2. 3 4 35 555555 3. 7 3 75 4. 2 2 23 Simplify each expression. Show your work. 5. (9)2(9)4 6. (24)3(24)7 (9)2(9)4 5 92 14 5 96 © 2011 Carnegie Learning 7. (22)2(22)5 8. (28)4(28)5 Write each expression in expanded form. 9. x 2 x3 10. y y2 xxxxx 11. m5 m2 12. n 4 n5 Chapter 13 Skills Practice • 875 Lesson 13.2 Skills Practice page 5 Name_________________________________________________________ Date__________________________ Simplify each expression. Show your work. 39. (3x2y)4 40. (2a2b3)5 (3x2y)4 5 34 (x2)4 y4 5 81(x)24y4 5 81x8y4 42. (25y3z2)5 43. (22cd2)4 44. (22x3y4 )2 © 2011 Carnegie Learning 41. (24mn3)3 Chapter 13 Skills Practice • 879 Lesson 13.2 Skills Practice page 7 Name_________________________________________________________ Date__________________________ Simplify each expression. Show your work. n5 57. __ 4 n m9 58. ___ 6 m 5 __ n 5 n524 4 n © 2011 Carnegie Learning 5 n b6 59. ____ 4 2b 2h14 60. _____ 6 h 212x7 61. ______ 2 3x 24y8 62. ____ 4 4y 45a7b3 63. ______ 4 25a b 10m8n3 64. _______ 2m7 Chapter 13 Skills Practice • 881 Lesson 13.3 Skills Practice page 3 Name_________________________________________________________ Date__________________________ Rewrite each expression so that the exponent is positive. 19. x 23 20. y28 __ 1 x3 21. a 28 b22 22. m24 n25 23. y 24 z23 24. x 22 y26 Rewrite each expression so that the exponent is positive. 25. ___ 1 225 26. ___ 1 623 5 2 27. ___ 1 924 28. ___ 1 422 29. ___ 1 723 30. ___ 1 524 © 2011 Carnegie Learning Rewrite each expression so that the exponent is positive. 31. ___ 1 y24 32. ___ 1 x27 y 4 33. ______ 1 x26y22 34. ______ 1 a23b28 35. _______ 1 m25 n29 36. _______ 1 g27 h24 Chapter 13 Skills Practice • 887 Lesson 13.3 Skills Practice page 6 Simplify each expression so that the exponent is positive. Show your work. y3 49. __ 5 y 50. __ x x9 4 y __ 5 y325 3 y5 5 y22 1 5 __ y2 a25 51. ___ a2 3 2 54. _____ m5n6 mn © 2011 Carnegie Learning x4y23 53. _____ 2 xy 8 52. ___ c24 c 890 • Chapter 13 Skills Practice Lesson 13.3 Skills Practice page 7 Name_________________________________________________________ Date__________________________ (x2y25) ? (xy) 55. ___________ x4y3 2 3 5 58. __________ 5c d4 ? c d 40c ? cd7 © 2011 Carnegie Learning 4 6 n 57. __________ 36m 2 3 4m n mn8 18a2b2 56. __________ 6ab3 ? ab24 Chapter 13 Skills Practice • 891
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