Exponents and Powers

71. Multiplicative inverse of 27 is

  • (A) 2–7
  • (B) 72
  • (C) –27
  • (D) –2–7

70. What is the value of (–1)an even number?

  • (A) 1
  • (B) 2
  • (C) –1
  • (D) 0

69. What is the value of (–1)an odd number?

  • (A) 1
  • (B) 2
  • (C) –1
  • (D) 0

68. The human body has about 100 billion cells. This number can be written in exponential form as

  • (A) 10–11
  • (B) 1011
  • (C) 109
  • (D) 10–9

67. What is the value of 10 + 20 + 30?

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 0

66. Which of the following is equal to (4 + 5 + 6)0?

  • (A) 40 + 50 + 60
  • (B) 40 + 50
  • (C) 40
  • (D) 50 + 60

65. Which of the following is equal to 50 × 250 × 1250?

  • (A) (50)6
  • (B) (5)6
  • (C) (25)6
  • (D) (56)0

64. Square of −(5/4) is

  • (A) −5/4
  • (B) −25/16
  • (C) 25/16
  • (D) 5/4

63. Cube of (−2/3) is

  • (A) −2/3
  • (B) −8/27
  • (C) 8/27
  • (D) 2/3

62. Which of the following is equal to 1?

  • (A) 20 + 30 + 40
  • (B) 20 × 30 × 40
  • (C) (30 – 20) × 40
  • (D) (30 – 20) × (30 +20)

61. Which of the following is not true?

  • (A) 32 > 23
  • (B) 43 = 26
  • (C) 33 = 9
  • (D) 25 > 52

60. [(–3)2]3 is equal to

  • (A) (–3)8
  • (B) 36
  • (C) –36
  • (D) (–3)23

59. Which power of 8 is equal to 26?

  • (A) 3
  • (B) 2
  • (C) 1
  • (D) 4

58. The value of the expression (2–3)2 × (3–2)3 is equal to

  • (A) 6–6
  • (B) –6–6
  • (C) –66
  • (D) 66

57. Simplified of the expression (–4)4 × (5/4)4 is

  • (A) 54
  • (B) 45
  • (C) –45
  • (D) –54

56. What is the value of x if (–5)x+1 × (5)5 = (5)7?

  • (A) 1
  • (B) 0
  • (C) –1
  • (D) –2

55. What is the value of (91 + 11) × (51 – 41)?

  • (A) 10
  • (B) 9
  • (C) 5
  • (D) 4

54. Which among the following is true?

  • (A) (52) × 3 = (52)3
  • (B) (52) × 3 > (52)3
  • (C) (52) × 3 < (52)3
  • (D) None of these

53. Which of the following is the correct representation of (–4m)3?

  • (A) (–4)3 × (m)3
  • (B) 43 × m3
  • (C) (–4)3 × m
  • (D) 43 × m

52. What is the value of x if (–5)2x × (5)5 = (5)7?

  • (A) 0
  • (B) 1
  • (C) –2
  • (D) –1
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