Answers to practice exercises 343
Chapter 8
Exercise 32 (page 55)
1. cubic metres, m 3
2. farad
3. square metres, m 2 4. metres per second, m/s
5. kilogram per cubic metre, kg/m 3
6. joule
7. coulomb 8. watt
9. radian or degree
10. volt
11. mass
12. electrical resistance 13. frequency
14. acceleration
15. electric current
16. inductance
17. length
18. temperature
19. pressure
20. angular velocity
21. ×10 9
22. m, ×10 −3
23. ×10
−12
24. M, ×10
6
Exercise 33 (page 56)
1. (a) 7.39 × 10 (b) 2.84 × 10 (c) 1.9762 × 10 2
2. (a) 2.748 × 10 3 (b) 3.317 × 10 4 (c) 2.74218 × 10 5
3. (a) 2.401 × 10
−1 (b) 1.74 × 10
−2 (c) 9.23 × 10
−3
4. (a) 1.7023 × 10 3 (b) 1.004 × 10 (c) 1.09 × 10 −2
5. (a) 5 × 10 −1 (b) 1.1875 × 10
(c) 1.306 × 10 2 (d) 3.125 × 10 −2
6. (a) 1010 (b) 932.7 (c) 54100 (d) 7
7. (a) 0.0389 (b) 0.6741 (c) 0.008
8. (a) 1.35 × 10 2 (b) 1.1 × 10 5
9. (a) 2 × 10 2 (b) 1.5 × 10 −3
10. (a) 2.71 × 10 3 kg m −3 (b) 4.4 × 10 −1
(c) 3.7673 × 10
2
(d) 5.11 × 10
−1 MeV
(e) 9.57897×10 7 C kg
−1
(f ) 2.241×10 −2 m 3 mol −1
Exercise 34 (page 58)
1. 60 kPa
2. 150 μW or 0.15 mW
3. 50 MV
4. 55 nF
5. 100 kW
6. 0.54 mA or 540 μA
7. 1.5 M
8. 22.5 mV
9. 35 GHz
10. 15 pF
11. 17 μA
12. 46.2 k
13. 3 μA
14. 2.025 MHz
15. 50 kN
16. 0.3 nF
17. 62.50 m
18. 0.0346 kg
19. 13.5 × 10 −3
20. 4 × 10 3
Chapter 9
Exercise 35 (page 62)
1. −3a
2. a + 2b + 4c
3. 3x − 3x 2 − 3y − 2y 2
4. 6ab − 3a
5. 6x − 5y + 8z
6. 1 + 2x
7. 4x + 2y + 2
8. 3z + 5b
9. −2a − b + 2c
10. −x
2
− y
2
Exercise 36 (page 64)
1. p 2 q 3 r
2. 8a 2
3. 6q 2
4. 46
5. 5
1
3
6. −
1
2
7. 6
8.
1
7y
9. 5xz 2
10. 3a
2
+ 2ab − b
2
11. 6a 2 − 13ab + 3ac − 5b 2 + bc
12.
1
3b
13. 3x
14. 2ab
15. 2x − y
16. 3 p + 2q 17. 2a 2 + 2b 2
Exercise 37 (page 66)
1. z 8
2. a 8
3. n 3
4. b 11
5. b −3
6. c 4
7. m 4
8. x −3 or
1
x 3
9. x 12
10. y
−6 or
1
x 6
11. t
8
12. c
14
13. a −9 or
1
x 9
14. b −12 or
1
x 12 15. b 10 16. s −9
17. p 6 q 7 r 5
18. x −2 y z −2 or
y
x 2 z 2
19. x 5 y 4 z 3 , 13
1
2
20. a 2 b −2 c or
a 2 c
b 2 , 9
Exercise 38 (page 67)
1. a 2 b 1/2 c −2 , 4
1
2
2.
1 + a
b
3. a b 6 c 3/2
4. a −4 b 5 c 11
5.
p 2 q
q − p
6. x y 3 6
√
z 13
7.
1
ef 2
8. a 11/6 b 1/3 c −3/2 or
6
√
a 11 3
√
b
√
c 3
Chapter 8
Exercise 32 (page 55)
1. cubic metres, m 3
2. farad
3. square metres, m 2 4. metres per second, m/s
5. kilogram per cubic metre, kg/m 3
6. joule
7. coulomb 8. watt
9. radian or degree
10. volt
11. mass
12. electrical resistance 13. frequency
14. acceleration
15. electric current
16. inductance
17. length
18. temperature
19. pressure
20. angular velocity
21. ×10 9
22. m, ×10 −3
23. ×10
−12
24. M, ×10
6
Exercise 33 (page 56)
1. (a) 7.39 × 10 (b) 2.84 × 10 (c) 1.9762 × 10 2
2. (a) 2.748 × 10 3 (b) 3.317 × 10 4 (c) 2.74218 × 10 5
3. (a) 2.401 × 10
−1 (b) 1.74 × 10
−2 (c) 9.23 × 10
−3
4. (a) 1.7023 × 10 3 (b) 1.004 × 10 (c) 1.09 × 10 −2
5. (a) 5 × 10 −1 (b) 1.1875 × 10
(c) 1.306 × 10 2 (d) 3.125 × 10 −2
6. (a) 1010 (b) 932.7 (c) 54100 (d) 7
7. (a) 0.0389 (b) 0.6741 (c) 0.008
8. (a) 1.35 × 10 2 (b) 1.1 × 10 5
9. (a) 2 × 10 2 (b) 1.5 × 10 −3
10. (a) 2.71 × 10 3 kg m −3 (b) 4.4 × 10 −1
(c) 3.7673 × 10
2
(d) 5.11 × 10
−1 MeV
(e) 9.57897×10 7 C kg
−1
(f ) 2.241×10 −2 m 3 mol −1
Exercise 34 (page 58)
1. 60 kPa
2. 150 μW or 0.15 mW
3. 50 MV
4. 55 nF
5. 100 kW
6. 0.54 mA or 540 μA
7. 1.5 M
8. 22.5 mV
9. 35 GHz
10. 15 pF
11. 17 μA
12. 46.2 k
13. 3 μA
14. 2.025 MHz
15. 50 kN
16. 0.3 nF
17. 62.50 m
18. 0.0346 kg
19. 13.5 × 10 −3
20. 4 × 10 3
Chapter 9
Exercise 35 (page 62)
1. −3a
2. a + 2b + 4c
3. 3x − 3x 2 − 3y − 2y 2
4. 6ab − 3a
5. 6x − 5y + 8z
6. 1 + 2x
7. 4x + 2y + 2
8. 3z + 5b
9. −2a − b + 2c
10. −x
2
− y
2
Exercise 36 (page 64)
1. p 2 q 3 r
2. 8a 2
3. 6q 2
4. 46
5. 5
1
3
6. −
1
2
7. 6
8.
1
7y
9. 5xz 2
10. 3a
2
+ 2ab − b
2
11. 6a 2 − 13ab + 3ac − 5b 2 + bc
12.
1
3b
13. 3x
14. 2ab
15. 2x − y
16. 3 p + 2q 17. 2a 2 + 2b 2
Exercise 37 (page 66)
1. z 8
2. a 8
3. n 3
4. b 11
5. b −3
6. c 4
7. m 4
8. x −3 or
1
x 3
9. x 12
10. y
−6 or
1
x 6
11. t
8
12. c
14
13. a −9 or
1
x 9
14. b −12 or
1
x 12 15. b 10 16. s −9
17. p 6 q 7 r 5
18. x −2 y z −2 or
y
x 2 z 2
19. x 5 y 4 z 3 , 13
1
2
20. a 2 b −2 c or
a 2 c
b 2 , 9
Exercise 38 (page 67)
1. a 2 b 1/2 c −2 , 4
1
2
2.
1 + a
b
3. a b 6 c 3/2
4. a −4 b 5 c 11
5.
p 2 q
q − p
6. x y 3 6
√
z 13
7.
1
ef 2
8. a 11/6 b 1/3 c −3/2 or
6
√
a 11 3
√
b
√
c 3