Exponents and Powers

51. 3^–2 can be written as

(A) 3²
(B) 1/3²
(C) 1/3^–2
(D) –2/3

50. The value of 1/4^–2 is

(A) 16
(B) 8
(C) 1/8
(D) 1/16

49. Predict the one’s digit of 4¹²

(A) 6
(B) 4
(C) 2
(D) 8

48. Predict the one’s digit of 50⁴⁵

(A) 1
(B) 0
(C) 2
(D) 4

47. Which of the following is true?

(A) 2ⁿ/4 = 2ⁿ^–2
(B) 4ⁿ^–1= 4ⁿ/4
(C) 25(5ⁿ^–2) = 5ⁿ
(D) All of these

46. Which of the following is true (10 + 10)¹⁰?

(A) 10¹⁰ + 10¹⁰
(B) 10¹⁰ + 10⁰
(C) 10¹⁰ + 10¹
(D) None of these

45. Which of the following is true?

(A) (–3)⁴ = 12
(B) (–3)⁴ > 12
(C) (–3)⁴ < 12
(D) (–3)⁴ = –12

44. The simplified value of [(−2)³ × (−2)⁴] ÷ (−2)⁷ is

(A) 1
(B) −1
(C) −2
(D) 2

43. The standard form for 0.000064 is

(A) 64 × 104
(B) 64 × 10^–4
(C) 6.4 × 10⁵
(D) 6.4 × 10^–5

42. The standard form for 234000000 is

(A) 2.34 × 10⁸
(B) 0.234 × 10⁹
(C) 2.34 × 10^–8
(D) 0.234×10^–9

41. The usual form for 2.03 × 10^–5

(A) 0.203
(B) 0.00203
(C) 203000
(D) 0.0000203

40. When multiplying (10)⁵ by (10)^–10 we get

(A) 10⁶
(B) 10^–5
(C) 10^–10
(D) 10^–2

39. What is the value of [4^–1 +3^–1 + 6^–2]^–1?

(A) 18/11
(B) 18/36
(C) 22/36
(D) 1/36

38. What is the value of [2^–1 + 3^–1 + 4^–1]⁰?

(A) 0
(B) 1
(C) –1/2
(D) –1

37. The value of [3^–1 × 4^–1]² is

(A) 1/12
(B) 1/144
(C) 144
(D) –1/144

36. The value of [2^–1 × 3^–1]^–1 is

(A) 1/6
(B) 6
(C) –1/6
(D) –6

35. The expression for 3⁵ with a negative exponent is

(A) 3^–5
(B) (1/3)^–5
(C) (1/3)⁵
(D) (–1/3)⁵

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