1. a. 15
b. 3
c. 4
d. 17
2. 5∣x∣∣y∣2yz. Notice the absolute value signs around x and y? That’s because their value must be positive!
3. 10∣x∣
4. 3y2x2. We do not need the absolute value signs for y2 because that term will always be nonnegative.
5. b43ab
6. 135
7. 0
8. 66
9. 14−73
10. a. −6
b. 6
c. 8839
11. (9)5=35=243
12. x(5y)29
13. 28x1523
Solutions to Odd-Numbered Exercises
1. When there is no index, it is assumed to be 2 or the square root. The expression would only be equal to the radicand if the index were 1.
3. The principal square root is the nonnegative root of the number.
5. 16
7. 10
9. 14
11. 72
13. 595
15. 25
17. 2
19. 26
21. 56
23. 635
25. 152
27. 19610
29. −21+17
31. 732
33. 155
35. 20x2
37. 7p
39. 18m2m
41. 2ba
43. 715x
45. 5y42
47. 7d47d
49. 1−3x22+26x
51. −w2w
53. 23x−3x
55. 5n55
57. 19m9m
59. 3d2
61. 2342x2
63. 6z32
65. 500 feet
67. 7−52−6
69. a9cmnmnc
71. 422x+2
73. 33
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College Algebra.Provided by: OpenStaxAuthored by: OpenStax College Algebra.Located at: https://cnx.org/contents/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1/Preface.License: CC BY: Attribution.