Basic Technical Mathematics, 11th Edition

Exercises 1.4, page 22

1. 1. $x^6$

2. 3. $x^7$

3. 5. $2b^6$

4. 7. $m^2$

5. 9. $\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{1}{7n^4}}$

6. 11. $P^8$

7. 13. $a^{30}{T}^{60}$

8. 15. ${\displaystyle \frac{8}{b^3}}$

9. 17. ${\displaystyle \frac{x^8}{16}}$

10. 19. 1

11. 21. $\hspace{0.17em}-\hspace{0.17em}3$

12. 23. ${\displaystyle \frac{1}{6}}$

13. 25. $R^2$

14. 27. $\hspace{0.17em}-\hspace{0.17em}{t}^{14}$

15. 29. $\hspace{0.17em}-\hspace{0.17em}{L}^2$

16. 31. ${\displaystyle \frac{1}{8}}$

17. 33. 1  

18. 35. ${\displaystyle \frac{a}{x^2}}$

19. 37. ${\displaystyle \frac{64s^6}{g^2}}$

20. 39. ${\displaystyle \frac{x^3}{64a^3}}$

21. 41. ${\displaystyle \frac{5n^3}{T}}$

22. 43. $\hspace{0.17em}-\hspace{0.17em}53$

23. 45. 253

24. 47. $\hspace{0.17em}-\hspace{0.17em}0.421$

25. 49. 114

26. 51. Yes

27. 53. 625

28.  

    55. 1

29. 57. ${\displaystyle \frac{G^2{k}^5{T}^5}{h}}$ 

30. 59. ${\displaystyle \frac{r}{6}}$

31. 61. $3212.27

32. 63. 2, 2.5937, 2.7048, 2.7169

33. 65. 277 ft

34. 67. ${\mathrm{85,600 ft/min}}^2$

35. 69. 14.9 L

36. 71. ${\mathrm{38.0 in.}}^2$

37. 73. 12,800 ft/min

38. 75. 39.6 cm

39. 77. 90,700 L/h

40. 79. 1240 km/h

41. 81. 101,000 Pa