Number 29, 30, 40, 50, 60 and 66. I have school in the morning! I’m really worried, I need to get this done fast.26. c = (c)(

29. (235a)”

5

Exponent Operations

LAW #1

30. When I multiply powers with the same base, I

the

31. Using repeated multiplication, show why: (x2)(x 3) = x

Simplify: Write the problem, show the intermediate step, box

your answer.

32. (23) (24) =

= 36. (6 x) (x”)=

33. (x )(x 15) =

(x”) 37. (2 x *) (5x)

34. (x)(x) =

(x0) 38. (a ? b )(a “b) =

35. (“cat”) (“cat”) =

(cat) 39. (3 aʻb ) (5 a b c ) =

7

(2

128 )

(6 x)

( 10 x’)

(a” b)

( 15 a bºc)

12

3

5

х

LAW #2

40. When I divide powers with the same base, I

the

41. Using repeated multiplication, show why: (x ) = (x)

Simplify: Write the problem, show the intermediate step, box your answer.

42. (25) + (22)

(2° = 8) 46. (3x+) = (x) =

(3x

43. (x)=(x)=

47. (20 x”) = (5x) =

44. (a)-(a’) =

(a) 48. (a 12 b 5) = (a b ) =

45. (“dog”) + (“dog”) =

(“dog”) 49. (30 a “b* c’) = ( 10 a b c ) = (3a”

3

x

LAW #3

50. When I raise a power to an exponent, I

the

51. Using repeated multiplication, show why: (x^)

Simplify: Write the problem, show the intermediate step, box

your answer.

52. (2′)

(2° = 64) 56. (3x

53. (x)

57. (ab

12 10

54. (a)

(aº)

Ꭹ ° )

55. ((“dog”)

(“dog”). 59. (2 abc

20

5

58. (x”y

( 27 x

(a b“)

120 30

(x

)

10 15 20

( 32 a b C

12

the

LAW #4

60. When I multiply powers with the same exponents, I

61. Using repeated multiplication, show why: (x ? )(y?)= ( xy)?

Simplify: Write the problem, show the intermediate step, box your answer.

62. (2°) (3°)

(6°= 216 )

63. (X°) (yº)

(xy)

64. ( a )(b)=

( ab?)?

65. (2a) *13b5,4 =

(6a’ b)

—

5

the

у

LAW #5

66. When I divide powers with the same exponents, I

67. Using repeated multiplication, show why: (x ² ) = (y²)=( * )2

Simplify: Write the problem, show the intermediate step, box your answer.

68. (63) +(33) =

(2} = 8)

70. (8x)} = ( 4y) 3 =

69. (x’) +(y)-

*)

71. (10abe) + ( 5a) =

(24)

(209

у

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