Integer and Rational Number Exponents
Solution Set 3
| 1. `-256` |
2. `256` |
3. `1` |
4. `-1` |
| 5. `81/16` |
6. `125/63` |
7. `8` |
8. `64` |
| 9. `-3` |
10. `-5` |
11. `-16` |
12. `-25` |
| 13. `16` |
14. `25` |
15. `1/3` |
16. `1/4` |
| 17. `1/9` |
18. `1/8` |
19. `3/4` |
20. `8/125` |
| 21. `9/4` |
22. `27/8` |
| 23. `6x^7y^4` |
24. `(8c^9)/(125)` |
25. `(36x^4)/(y^4)` |
| 26. `(2y^2)/(9x)` |
27. `(y)/(3x)` |
28. `(y^6)/(x^4)` |
| 29. `1/a+1/b=>(a+b)/(ab)` |
30. `b/(ac)` |
31. `(16)/(b^2)` |
| 32. `1` |
33. `3|xy^3|` |
34. `5a^2b` |
| 35. `a^(1//2)b^(3//10)` |
36. `(y^(2//3))/(x^(7//6))` |
37. `a^2+7a` |
| 38. `-8m^(2)-m` |
39. `p-q` |
40. `c^2-d^(2//3)` |
| 41. `m^(2)n^(3//2)` |
42. `(r^(1//2))/(s^(3))` |
43. `1` |
| 44. `r^(7n//2)` |
45. `r^((m-n)//(mn))` |
46. `s^(4//n)` |
| 47. `2.1 xx 10^7` |
48. `1.63 xx 10^8` |
49. `9.5 xx 10^-4` |
50. `8.21 xx 10^-8` |
| 51. `6,500` |
52. `0.00000000686` |
53. `0.000217` |
54. `3.75` |
| 55. `sqrt(3x)` |
56. `root3(6y)` |
57. `5root4(xy)` |
| 58. `2aroot5(bc)` |
59. `root3((5w)^2)` |
60. `root4((a+b)^3)` |
| 61. `(17k)^(1//3)` |
62. `4(3m)^(1//2)` |
63. `a^(2//5)` |
| 64. `3(5n)^(1//4)` |
65. `((7a)/3)^(1//2)` |
66. `((5b^2)/7)^(1//3)` |
| 67. `3sqrt(5)` |
68. `5sqrt(3)` |
69. `2root3(3)` |
70. `3root3(5)` |
| 71. `-3root3(3)` |
72. `-5root3(2)` |
73. `-2root3(4)` |
74. `-3root3(9)` |
| 75. `2abs(xy)sqrt(6x)` |
76. `3xy^2sqrt(2y)` |
77. `-2ay^2root3(2y)` |
78. `-3droot3(2c^2d^2)` |
| 79. `-13sqrt(2)` |
80. `46root3(4)` |
81. `-10root4(3)` |
82. `-5root3(5)` |
| 83. `17yroot3(4y)` |
84. `-5x^2root3(2x)` |
85. `22x^2yroot3(y)` |
86. `3a^2sqrt(ab)` |
| 87. `29+11sqrt(5)` |
88. `3+3sqrt(7)` |
89. `2x-9` |
90. `49-3a` |
91. `50+10sqrt(6yz)+3z` |
| 92. `45y-24sqrt(5y)+16` |
93. `x+10sqrt(x-3)+22` |
94. `x-6sqrt(x+7)+16` |
95. `2x+14sqrt(2x+5)+54` |
96. `9x+22sqrt(9x-2)+119` |
| 97. `sqrt(2)` |
98. `xsqrt(3)` |
99. `sqrt(10)/6` |
100. `sqrt(70)/20` |
| 101. `(3root3(4))/(2)` |
102. `root3(2)` |
103. `(2root3(x))/x` |
104. `root4(4y^3)/y` |
| 105. `sqrt(5)/3` |
106. `sqrt(35)/10` |
107. `sqrt(6xy)/(9y)` |
108. `sqrt(2cd)/(5d)` |
| 109. `(3(sqrt(5)-sqrt(x)))/(5-x)` |
110. `(5(sqrt(y)+sqrt(3)))/(y-3)` |
111. `-(2sqrt(7)+7)/3` |
112. `-30sqrt(6)+36` |
| 113. Color Monitors |
| a. `2^16=65,536` |
b. `2^32=4,294,967,296` |
| 114. Physiology |
| 16,741,000 |
| 115. Astronomy |
| `1.97 xx 10^4` |
| 116. Astronomy |
| `4.836 xx 10^8` |
| 118. Finance |
| a.`$5,368,709.12` |
| b.`$10,737,418.23` |
| 119. Optics |
| a. `81%` |
b. `66%` |
| 120. Food Science |
| a. `4.00` hours |
| b. Approximately `1.52` times longer. |