Technical Mathematics, Sixth Edition

D.13. CHAPTER 13

Exercise 1

1. 3/x

3. 2

5. a/4b²

7. a³/b²

9. p³/q

11. 1

13. 1/(16a⁶b⁴c¹²

15. 1/(x + y)

17. m⁴/(1 − 6m²n)²

19. 2/x + 1/y²

21. b/3

23. 9y²/4x²

25. 27q³y³/8p³x³

27. 9a⁸b⁶/25x⁴y²

29. 1/(3m)³ − 2/n²

31. x²ⁿ + 2xⁿy^m + y^2m

33. x/2y⁷

35. p

37. 4ⁿa⁶ⁿx⁶ⁿ/9ⁿb⁴ⁿy²ⁿ

39. 3p²/2q²x⁴z³

41. 5^pw^2p/2^pz^p

43. 25n⁴x⁸/9m⁶y⁶

45.

47. 2/²R

Exercise 2

Exercise 3

Exercise 4

1. 36

3. 4

5. 13.8

7. 8

9. 8

11. 7

13. 4.79

15. 3

17. 14.1 cm; 29.0 cm

19. 3.91 m; 4.77 m

21.

Review Problems

35. 27x³y⁶/8

37. 8x⁹y⁶

39. 3/W²

41. 1/(3x)

43. 1/x − 2/y²

45. 1/(9x²) + (y⁸/4x⁴)

47. p^2a−1 + (pq)^a−1 + p^aq^a−2 + q^2a−3

49. p²/q

51. r²/s³

53. 1

55. V = 36πr³

57.