AP 8th Maths Mock Test 2021 For Chapter – 4 :”Exponents And Powers” Online Practice Test

1. (- 2)- 3\times (- 2)- 4 =
2. (4)- 2 \times (22)2 =
3. (30 + 4- 1) \times 22 =
4. (3- 1 + 4- 1 + 5- 1)0 =
5. 10- 1 =
6. (- 2)- 5 \times (- 2)6 =
7. ax - y \times ay - z \times az - x =
8. (30 - 50) \times 4- 3 =
9. 2^{3x - 5} = \frac{1}{ 4^{x} } then x = ...............
10. If \sqrt{5} = x - 2 then the value of (x - 2)3 =
11. (0.04)- 1.5 = ...........
12. 102018 \div (2 \times 5)2016 =
13. By what number should (\frac{- 3}{2})- 3 be divided so that the resultant is (\frac{9}{4})- 2 ?
14. (\frac{a}{b})- 4 \times (\frac{a}{b})3x = (\frac{a}{b})5 then the value of x is
15. If 52m \div 5- 1 = 55 then 3m + 1 =
16. Which of the following is not equal to x8 ?
17. Which of the following statements are true ?
Statement P : 50 \times 30 = 15
Statement Q : If x = 2 , y = 3 then xy = yxStatement R : (\frac{2}{3}) ^{- 3} = \frac{27}{8}
18. If 0.00000000015 = 1.5 \times 10x then x =
19. What is the usual form of 1.0001 \times 109 ?
20. If x = (\frac{3}{2})2 \times (\frac{2}{3})- 4 then x- 2 =
21. If (- 3)n + 1 \times (- 3)5 = (- 3)- 4 then the value of n =
22. If x = 3 and y = 2 then 8x2 - 3y3 =
23. (2- 1 + 3- 1)2 =
24. Assertion A : 7- 2 = \frac{1}{49}
Reason R : a- m = - am = \frac{- 1}{a^{m}}
Which of the following statements are true ?
25. If ab = ba then the value of (\frac{a}{b}) ^{ \frac{a}{b} } =
26. The value of \frac{1}{1 + a^{- n}} + \frac{1}{1 + a^{n}} =
27. The expanded form of decimal number 543.67 when we use exponents is
28. For what values of n , the value of(- 2)n is positive ?
29. Which of the following is not true ?
30. If m is positive integer then ma =
31. a- m =
32. Match the following
  • a. (am)n   ( ) i. ambm
  • b. (ab)m ( ) ii. \frac{a^{m}}{b^{m}}
  • c. [\frac{a}{b}]m    ( ) iii. amn
33. a0 = ............ (a\neq0)
34. In the exponential form am , m is called .....................
35. Which of the following values are equal ?
  1. 20200
  2. 02020
  3. 12020
  4. 20201
36. What is the standard form of 31860000000 ?
37. What is the standard form of 0.0000000000085 ?
38. Write 3.02 \times 10- 6 in usual form
39. Size of bacteria is 0.0000005 m . Express this in standard form
40. 3.61492 \times 106 =
41. Which of the following are equal to \frac{- 8}{27} ?
  1. [\frac{2}{3}]- 3
  2. - [\frac{- 2}{3}]3
  3. [\frac{- 2}{3}]3
  4. [\frac{- 2}{3}] \times [\frac{- 2}{3}] \times [\frac{- 2}{3}]
42.
  • Step i : \frac{1}{ (216)^{ \frac{- 2}{3} } }\frac{1}{ (256)^{ \frac{- 3}{4} } }\frac{1}{ (32)^{ \frac{- 1}{5} } }
  • Step ii : (6^{3})^{ \frac{2}{3} }(4^{4})^{ \frac{3}{4} }(2^{5})^{ \frac{1}{5} }
  • Step iii : 36 + 64 + 2 = 102
  • Step iv : (216)^{ \frac{2}{3} }(256)^{ \frac{3}{4} }(32)^{ \frac{1}{5} }
  • Step v : 62 + 43 + 21
Write these steps of simplification in an order
43. Which is greater among 212 or 38 ?
44. Which is greater among 2300 or 3200 ?
45. Charge of an electron = 0.000 , 000 , 000 , 000 , 000 , 000 , 16 coulomb . This can be written as .............
46. The thickness of a paper at Arun is 0.0015 cm . The standard form of it in cm is .............
47. Write the number " Three crore fifty three lakhs " in scientific notation ...........
48. Simplify 37 \times 33
49. Simplify 34 \times 43
50. Simplify 32 \times 23
51. Simplify 4\times4\times4\times4\times4
52. Simplify 4\times4\times4\times4\times4\times2\times2\times2
53. The distance between Mumbai and Delhi is 1674.9 km by bus . How would you express this in cm ?
54. The distance between Hyderabad and Delhi is 4567.8 km by car . How would you express this in scientific form ?
55. Express the following information in standard form
Size of the bacteria is 0.0000004 m
56. Express the following information in standard form
Size of the red blood cells is 0.000007 mm.
57. Express the following information in standard form
The speed of the light is 300000000 m/sec
58. Express the following information in standard form
The distance between the moon and earth is 384467000 m
59. Express the following information in standard form
The charge of an electron is 0.0000000000000000016 coulombs.
60. Express the following information in standard form
Thickness of a piece of a paper is 0.0016 cm
61. Express the following information in standard form
The diameter of a wire on a computer chip is 0.000005 cm.
62. In a pack there are 5 books, each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the pack ?
63. Express the standard form of following number into usual form.
4.37 \times 10^{5} m
64. Express the standard form of following number into usual form.
5.8 \times 10^{7} m
65. Express the standard form of following number into usual form.
32.5 \times 10^{-4} m
66. Express the standard form of following number into usual form.
3.71529 \times 10^{7} m
67. Express the standard form of following number into usual form.
3789 \times 10^{-5} m
68. Express the standard form of following number into usual form.
24.36 \times 10^{-3} m
69. Express the usual form of following number into standard form.
0.000000000947
70. Express the usual form of following number into standard form.
543000000000
71. Express the usual form of following number into standard form.
48300000
72. Express the usual form of following number into standard form.
0.00009298
73. Express the usual form of following number into standard form.
0.0000529
74. Express the usual form of following number into standard form.
0.0000456
75. Express the usual form of following number into standard form.
0.000000529
76. Express the usual form of following number into standard form.
0.0000000085
77. Express the usual form of following number into standard form.
6020000000
78. Express the usual form of following number into standard form.
35400000000
79. Express the usual form of following number into standard form.
4370000
80. Express the usual form of following number into standard form.
43700000
81. Simplify  4^{-3}
82. Simplify  (-2)^{7}
83. Simplify  (\frac{3}{4})^{-3}
84. Simplify  (-3)^{-4}
85. Simplify (\frac{1}{2})^{4} \times (\frac{1}{2})^{5} \times (\frac{1}{2})^{6}
86. Simplify (-2)^{7} \times (-2)^{3} \times (-2)^{4}
87. Simplify 4^{4} \times (\frac{5}{4})^{4}
88. Simplify  ( \frac{5^{-4} }{5^{-6}}) \times 5^{3}
89. Simplify  (-3)^{4} \times 7^{4}
90. Simplify  (-5)^{4} \times -4^{4}
91. Simplify  (-5)^{7} \times -4^{7}
92. Simplify  (-5)^{7} \times -2^{7}
93. Simplify  (-3)^{4} \times -4^{4}
94. 100-1 =
95. 1000-1 =
96. 10-2 =
97. 10-3 =
98. If m = 3 and n = 2
find the value of  9 m^{2} - 10 n^{3}
99. If m = 3 and n = 2
find the value of  2 m^{2} n^{2}
100. If m = 3 and n = 2
find the value of  m^{n} - n^{m}

 

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