Basic Technical Mathematics, 11th Edition

Exercises 11.2, page 331

1. 1. 16

2. 3.

   

3. 5. 6

4. 7. 3

5. 9. 1000

6. 11. ${\displaystyle \frac{1}{4}}$

7. 13. ${\displaystyle \frac{1}{16}}$

8. 15. 25

9. 17. 81

10. 19. $\hspace{0.17em}-\hspace{0.17em}200$

11. 21. ${\displaystyle \frac{3}{5}}$

12. 23. $\hspace{0.17em}-\hspace{0.17em}2$

13. 25. ${\displaystyle \frac{39}{1000}}$

14. 27. 2.059

15. 29. 0.53891

16. 31. $m^{\mathrm{5/6}}$

17. 33. ${\displaystyle \frac{\hspace{0.17em}-\hspace{0.17em}4}{y^{\mathrm{9/10}}}}$

18. 35. ${\displaystyle \frac{1}{x^{\mathrm{3/2}}}}$

19. 37. $2a{b}^2$

20. 39. ${\displaystyle \frac{1}{8a^3{b}^{\mathrm{9/4}}}}$

21. 41. $a^{\mathrm{1/12}}$

22. 43. ${\displaystyle \frac{4x}{{(4x^2\hspace{0.17em}+\hspace{0.17em}1)}^{\mathrm{1/2}}}}$

23. 45. $\hspace{0.17em}-\hspace{0.17em}y$

24. 47. ${\displaystyle \frac{T}{{(T\hspace{0.17em}+\hspace{0.17em}2)}^{\mathrm{1/2}}}}$

25. 49. ${\displaystyle \frac{a^2\hspace{0.17em}+\hspace{0.17em}1}{a^4}}$

26. 51. ${\displaystyle \frac{a\hspace{0.17em}+\hspace{0.17em}1}{a^{\mathrm{1/2}}}}$

27. 53. ${\displaystyle \frac{5x^2\hspace{0.17em}-\hspace{0.17em}2x}{{(2x\hspace{0.17em}-\hspace{0.17em}1)}^{\mathrm{1/2}}}}$

28. 55.

    

29. 57.

    

30. 59. Yes

31. 61. $\sqrt[3]{x^2}$

32. 63. If ${(A\hspace{0.17em}/\hspace{0.17em}S)}^{\hspace{0.17em}-\hspace{0.17em}\mathrm{1/4}}\hspace{0.17em}=\hspace{0.17em}0.5\hspace{0.17em}=\hspace{0.17em}\mathrm{1/2}\hspace{0.17em},\hspace{0.17em}$ then ${(A\hspace{0.17em}/\hspace{0.17em}S)}^{\mathrm{1/4}}\hspace{0.17em}=\hspace{0.17em}2.$ Raise each to the fourth power and get $A\hspace{0.17em}/\hspace{0.17em}S\hspace{0.17em}=\hspace{0.17em}16.$

33. 65. $R\hspace{0.17em}=\hspace{0.17em}\; ...$