Concept Check In Exercises 17 and 18, match each expression in Column I with the equiv-
alent expression in Column II. Choices in Column II may be used once, more than once, or
not at all. (In Exercise 17, )
III- (a) A. 0
(b) B. 1(c) C.(d) D. 7(e) E.(f ) F.1
7
1 - 7 x 20- 7 x^0 - 7
17 x 207 x^0 - 1- x^0
x^0xZ0.SECTION 5.2 Integer Exponents and the Quotient Rule 309
Evaluate each expression. See Examples 1 and 2.
25. 26. 27.
28. 29. 30.
31. 32.
- 34.a
1
3
b- 1
+a
4
3
b- 1
a
1
2
b- 1
+a
2
3
b- 1
3 -^2 - 2 -^16 -^2 - 3 -^1
1 - 42 -^35 -^1 + 3 -^16 -^1 + 2 -^1
a 1 - 32 -^42
3
b- 3
a
6
7
b- 2
a1
3
b- 3
a
1
2
b- 4
5 -^4
60 + 80 40 + 20 4 -^3
III
- (a) A. 8
(b) B. 16
(c) C.(d) D.(e) E.(f ) F.1
16
1
1 - 22 -^4
- 16
1
- 2 -^4
- 8
1
2 -^4
-
1
16
2 -^4
1 - 22 -^4
- 2 -^4
Simplify by writing each expression with positive exponents. Assume that all variables repre-
sent nonzero real numbers. See Examples 2– 4.
39. 40. 41. 42.
43. 44. 45. 46.
47. 48. 49. 50.
51. 52. 53. 54.
55. 56. 57. 58.
1 p- 3 q 2 -^2
1 p- 3 q 2 -^41 x+ 2 y 2 -^3
1 x+ 2 y 2 -^51 x+y 2 -^8
1 x+y 2 -^91 a+b 2 -^3
1 a+b 2 -^4p-^5 q-^4
9 r-^3x-^3 y
4 z-^2a^6
a-^4r^5
r-^4p^5 q-^8 x-^8 y^46 -^2
5 -^4
4 -^3
5 -^2
3
s-^82
r-^41
5 -^2
1
6 -^3
y^4
y-^6x^12
x-^3