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CBSE Class 7 Mathematics MCQ
Exponents And Powers
with Answers
Question 1: Simplify 22
(A) 3
(b) 10
(c) 4
(d) 7
Answer : CShow Answer :
Question 2: Multiplicative inverse of 1 / 7 is _________ .
(A) 49
(b) 5
(c) 7
(d) -14
Answer : CShow Answer :
Question 3: In standard form 56700000 is written as ________________ .
(A) 5.67 x 107
(b) 567 x 107
(c) 5.67 x 105
(d) 567 x 100000
Answer : AShow Answer :
Question 4: 7 x 10-5 m is the standard form of which of the following ________ .
(A) 0.0007 m
(b) 0.000007 m
(c) 0.0000007 m
(d) 0.00007 m
Answer : DShow Answer :
Question 5: Find the value of 112
(A) 22
(b) 9
(c) 121
(d) 13
Answer : CShow Answer :
Question 6: Usual form of the expression 104 is given by _____________ .
(A) 100,00
(b) 1,0000
(c) 10 x 104
(d) 10,000
Answer : DShow Answer :
Question 7: Fill in the blank : ( -1 ) even number = _____________ .
(A) 2 x (-1)
(b) 1
(c) 0
(d) -13
Answer : BShow Answer :
Question 8: The value of 72 ÷ 73 is given by ___________ .
(A) 1/7
(b) 7
(c) 1/14
(d) -7
Answer : AShow Answer :
Question 9: The Base in the expression 810 is _______________ .
(A) 10
(b) 2
(c) 8
(d) 800
Answer : CShow Answer :
Question 10: The value of 20 x 30 x 40 is
(A) 1
(b) 0
(c) 24
(d) None of these
Answer : AShow Answer :
Question 11: The number 86,800,000,000,000,000,000,000,000 Kg is equal to _________________ .
(A) 8.68 x 1025 Kg
(b) 868 x 1023 Kg
(c) 86.8 x 10-25 Kg
(d) 868 x 10-23 m
Answer : AShow Answer :
Question 12: The value of 72 is ___________ .
(A) 7
(b) 49
(c) 2
(d) 14
Answer : BShow Answer :
Question 13: Find the value of 50 x 70 x 30
(A) 1
(b) 1/24
(c) 6
(d) 1/5 x 7 x 3
Answer : AShow Answer :
Question 14: The expression , ( 52 + 72 + 32 )0 is equals to
(A) 156
(b) – 6
(c) 1
(d) 83
Answer : CShow Answer :
Question 15: The standard form of 9,030,000,000 is given by ______________ .
(A) 9.03 109
(b) 90.3 107
(c) 903 106
(d) 9.03 10-9
Answer : AShow Answer :
Question 16: The value of (1/6)2 is _______________ .
(A) 1/12
(b) 2/-3
(c) 1/3
(d) 2
Answer : CShow Answer :
Question 17: In simplified form ( 30 + 40 + 50 )0 is equals to
(A) 12
(b) 3
(c) 12
(d) 1
Answer : DShow Answer :
Question 18: Find the number from the following expanded form : 9 x 105 + 2 102 + 3 x 101
(A) 900203
(b) 912351
(c) 905302
(d) 900230
Answer : DShow Answer :
Question 19: The value of 30 is ________ .
(A) 0
(b) 3
(c) 1
(d) None of these
Answer : CShow Answer :
Question 20: Usual form of the expression 9 x 10-5 is given by ______________ .
(a) 0.00009
(b) 0.000009
(c) 90 x 10-4
(d) 0.09 x 10-3
Answer : AShow Answer :
Question 21: Multiplicative inverse of
(A) 14
(B) 7
(C) 49
(D) None of these
Answer : (b) 7Show Answer :
Question 22: Simplify 2 × 103.
(A) 1000
(B) 2000
(C) 16000
(D) None of these
Answer : (b) 2000Show Answer :
2 × 10 × 10 × 10 = 2000.
Question 23: Find 73 ÷ 73.
(A) 76
(B) 79
(C) 70
(D) None of these
Answer : (c) 70Show Answer :
73-3 = 70
Question 24: The value of (−1)47 is
(A) -1
(B) 1
(C) 0
(D) None of these
Answer : (a) -1Show Answer :
Question 25: Express 72 as a product of powers.
(A) 23 × 32
(B) 33 × 23
(C) 23 + 32
(D) None of these
Answer : (a) 23 × 32Show Answer :
Prime factors of 72 = 2 × 2 × 2 × 3 × 3 = 23 × 32.
Question 26: Find the number from the following expanded forms 3 × 104 + 7 × 102 + 5 × 100.
(A) 375
(B) 30705
(C) 3705
(D) None of these
Answer : (b) 30705Show Answer :
30000 + 700 + 5 = 30705.
Question 27: The short notation 104 stands for the product.
(A) 10 × 10 × 10 × 10
(B) 4 × 10
(C) 10 + 10 + 10 + 10
(D) None of these
Answer : (a) 10 × 10 × 10 × 10Show Answer :
10 is multiplied four times.
Question 28: Simplify 34 ÷ 34.
(A) 30
(B) 311
(C) 328
(D) None of these
Answer : (a) 30Show Answer :
In division power.
Question 29: The value of (−1)91 is
(A) 1
(B) 0
(C) -1
(D) None of these
Answer : (c) -1Show Answer :
Question 30: The value of (−1)310 is
(A) 1
(B) -1
(C) 0
(D) None of these
Answer : (a) 1Show Answer :
Question 31: Express using exponential notation 343.
(A) 37
(B) 73
(C) 7
(D) None of these
Answer : (b) 73Show Answer :
Prime factors of 343 = 7 × 7 × 7.
Question 32: Express 729 as a power of 3.
(A) 93
(B) 34
(C) 36
(D) 32
Answer : (c) 36Show Answer :
Question 33: In 104, 10 is called :
(A) Base
(B) Power
(C) Exponent
(D) None of these
Answer : (a) BaseShow Answer :
Question 34: The number which is multiplied by (−8)-1 to obtain a product equal to 10-1 is ____.
(A)
(B)
(C)
(D)
Answer : (a) Show Answer :
Question 35: Express in exponential form 2 × 2 × a × a.
(A) 22. a2
(B) 22. 20
(C) 22 + a2
(D) None of these
Answer : (a) 22. a2Show Answer :
2 is multiplied two times and also a is multiplied two times.
Question 36: Simplify 52 ÷ 56.
(A) 5-4
(B) 54
(C) 58
(D) None of these
Answer : (a) 5-4Show Answer :
As 52-6 = 5-4.
Question 37: The value of (−1)500 is
(A) 1
(B) -1
(C) 0
(D) None of these
Answer : (a) 1Show Answer :
Question 38: Which is greater 23 or 32.
(A) 23
(B) 32
(C) Equal
(D) None of these
Answer : (b) 32Show Answer :
23 = 2 × 2 × 2 = 8, 32 = 3 × 3 = 9.
Question 39: Simplify 0 × 122.
(A) 1
(B) 20
(C) 0
(D) None of these
Answer : (c) 0Show Answer :
0 is multiplied by any number gives result 0.
Question 40: Find the value of
(A) 1
(B) 0
(C) 3
(D) None of these
Answer : (a) 1Show Answer :
35-5 = 30 = 1
Question 41: The value of 110 is ________ .
(A) 3
(B) 11
(C) 1
(D) None of these
Answer : (c) 1Show Answer :
Question 42: The exponential form of 100000 is
(A) 103
(B) 104
(C) 105
(D) none of these
Answer : (c) 105Show Answer :
Question 43: (-1)3 find value.
(A) 1
(B) -1
(C) -3
(D) None of these
Answer : (b) -1Show Answer :
Negative sign has odd number exponent.
Question 44: Simplify 23 × 5.
(A) 30
(B) 40
(C) 20
(D) None of these
Answer : (b) 40Show Answer :
23 × 5 = 2 × 2 × 2 × 5 = 40.
Question 45: Find the value of 20 + 30 + 40.
(A) 3
(B) 0
(C) 9
(D) None of these
Answer : (a) 3Show Answer :
20 + 30 + 40 = 1 + 1 + 1 = 3.
Question 46: Express 432 as a product of powers of prime factors.
(A) 23×33
(B) 8×27
(C) 16×27
(D) 24×33
Answer : (d) 24×33Show Answer :
Question 47: Find the value of 112.
(A) 121
(B) 22
(C) 5.5
(D) None of these
Answer : (a) 121Show Answer :
11 × 11 = 121.
Question 48: Simplify a2 × a4.
(A) a8
(B) a6
(C) a2
(D) None of these
Answer : (b) a6Show Answer :
Powers are added as the base of both numbers is a.
Question 49: Find the number from the following expanded forms
8 × 104 + 6 × 103 + 0 × 102 + 4 × 101 + 5 × 100.
(A) 86045
(B) 8645
(C) 86450
(D) None of these
Answer : (a) 86045Show Answer :
8 × 104 + 6 × 103 + 0 × 102 + 4 × 101 + 5 × 100 = 80000 + 6000 + 0 + 40 + 5.
Question 50: Multiplicative inverse of
(A) 10
(B) 3
(C) 5
(D) None of these
Answer : (c) 5Show Answer :
Question 51: Solve 14.
(A) 1
(B) 4
(C) -1
(D) None of these
Answer : (a) 1Show Answer :
1 is multiplied four times, i.e. 1 × 1 × 1 × 1.
Question 52: Solve 22 × 23.
(A) 26
(B) 25
(C) 46
(D) None of these
Answer : (b) 25Show Answer :
Powers are added if the base are same in case of multiplication.
Question 53: Solve (30 + 20) × 50.
(A) 2
(B) 0
(C) 5
(D) None of these
Answer : (a) 2Show Answer :
(1 + 1) x 1 = 2 × 1 = 2.
Question 54: The value of 70 is ________ .
(A) 7
(B) 21
(C) 1
(D) None of these
Answer : (c) 1Show Answer :
Question 55: In 104, 4 is called :
(A) Base
(B) Power
(C) Exponent
(D) None of
Answer : (c) ExponentShow Answer :
Question 56: Identify the greater number (i) 43 or 34.
(A) 43
(B) 34
(C) Both are equal
(D) None of these
Answer : (b) 34Show Answer :
4 × 4 × 4 = 64, and 3 × 3 × 3 × 3 = 81.
Question 57: 512 can be written in exponential form a
(A) 23
(B) 24
(C) 29
(D) 21
Answer : (c) 29Show Answer :
Question 58: Find the value of
(A) 64
(B) 36
(C) 81
(D) None of these
Answer : (a) 64Show Answer :
23 = 2 × 2 × 2 = 8 and 82 = 8 × 8 = 64.
Question 59: Solve 20 × 30 × 40.
(A) 1
(B) 24
(C) 0
(D) None of these
Answer : (a) 1Show Answer :
20 × 30 × 40 = 1 × 1 × 1 = 1.
Question 60: The value of 28 is
(A) 1024
(B) 256
(C) 512
(D) 128
Answer : (b) 256Show Answer :
Question 61: Simplify 0 × 102.
(A) 0
(B) 100
(C) 20
(D) None of these
Answer : (a) 0Show Answer :
0 is multiplied by any number gives result 0.
Question 62: Express in exponential form : (2 × 3)5
(A) 30 × 30
(B) 52 × 53
(C) 65
(D) None of these
Answer : (c) 65Show Answer :
(a × b)x = (ab)x.
Question 63: Express 432 as a product of powers.
(A) 42 × 33
(B) 24 × 33
(C) 24 + 34
(D) None of these
Answer : (b) 24 × 33Show Answer :
Prime factor of 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3.
Question 64: Which is smaller 210 or 102 ?
(A) 210
(B) 102
(C) Both are equal
(D) None of these
Answer : (b) 102Show Answer :
210 = 1024 and 102 = 100, so 102 is smaller than 210.
Question 65: Expresses 256 as a power of 2.
(A) 28
(B) 2 × 8
(C) 2 multiplied 8 times
(D) None of these
Answer : (a) 28Show Answer :
Prime factors of 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2.
Question 66: The value of (−1)75 is
(A) 0
(B) 1
(C) -1
(D) None of these
Answer : (c) -1Show Answer :
Question 67: The value of (−1)400 is
(A) 1
(B) 0
(C) -1
(D) None of these
Answer : (a) 1Show Answer :
Question 73: The exponential form of 10000 is
(A) 103
(B) 104
(C) 105
(D) none of these
Answer : (b) 104Show Answer :
Hint:
10000 = 10 × 10 × 10 × 10 = 104
Question 74: The exponential form of 100000 is
(A) 103
(B) 104
(C) 105
(D) none of these
Answer : (c) 105Show Answer :
Hint:
100000 = 10 × 10 × 10 × 10 × 10 = 105
Question 75: The exponential form of 81 is
(A) 34
(B) 33
(C) 32
(D) none of these
Answer : (a) 34Show Answer :
Hint:
81 = 3 × 3 × 3 × 3 = 34
Question 76: The exponential form of 125 is
(A) 54
(B) 53
(C) 52
(D) none of these
Answer : (b) 53Show Answer :
Hint:
125 = 5 × 5 × 5 = 53
Question 77: The exponential form of 32 is
(A) 23
(B) 24
(C) 25
(D) none of these
Answer : (c) 25Show Answer :
Hint:
32 = 2 × 2 × 2 × 2 × 2 = 25
Question 78: The exponential form of 243 is
(A) 35
(B) 34
(C) 33
(D) 32
Answer : (a) 35Show Answer :
Hint:
243 = 3 × 3 × 3 × 3 × 3 = 35
Question 79: The exponential form of 64 is
(A) 25
(B) 26
(C) 27
(D) 28
Answer : (b) 26Show Answer :
Hint:
64 = 2 × 2 × 2 × 2 × 2 × 2 = 26
Question 80: The exponential form of 625 is
(A) 52
(B) 53
(C) 54
(D) 55
Answer : (c) 54Show Answer :
Hint:
625 = 5 × 5 × 5 × 5 = 54
Question 81: The exponential form of 1000 is
(A) 101
(B) 102
(C) 103
(D) 104
Answer : (c) 103Show Answer :
Hint:
1000 = 10 × 10 × 10 = 103
Question 82: The value of (- 2)3 is
(A) 8
(B) -8
(C) 16
(D) -16
Answer : (b) -8Show Answer :
Hint:
(-2)3 = (-2) × (-2) × (-2) = -8
Question 83: The value of (- 2)4 is
(A) 8
(B) -8
(C) 16
(D) -16
Answer : (c) 16Show Answer :
Hint:
(-2)4 = (-2) × (-2) × (-2) × (-2) = 16
Question 84: What is the base in 82?
(A) 8
(B) 2
(C) 6
(D) 10
Answer : (a) 8Show Answer :
Question 85: What is the exponent in 82?
(A) 8
(B) 2
(C) 16
(D) 6
Answer : (b) 2Show Answer :
Question 86: (-1)even number =
(A) -1
(B) 1
(C) 0
(D) none of these
Answer : (b) 1Show Answer :
Question 87: (-1)odd number =
(A) -1
(B) 1
(C) 0
(D) none of these
Answer : (a) -1Show Answer :
Question 88: 0 × 104 =
(A) 0
(B) 104
(C) 1
(D) none of these
Answer : (a) 0Show Answer :
Question 89: If 23 × 24 = 2?, then ? =
(A) 3
(B) 4
(C) 1
(D) 7
Answer : (d) 7Show Answer :
Hint:
23 × 24 = 23+4 = 27
Question 90: If (- 3)4 × (-3)6 = (-3)?, then ? =
(A) 4
(B) 10
(C) 6
(D) 12
Answer : (b) 10Show Answer :
Hint:
(-3)4 × (-3)6 = (-3)4+6 = (-3)10
Question 91: 27 ÷ 23 =
(A) 24
(B) 210
(D) 2
(D)
Answer : (a) 24Show Answer :
Hint:
27÷ 23 = 27-3 = 24
Question 92: 106 ÷ 105 =
(A) 101
(B) 105
(C) 106
(D) 1011
Answer : (a) 101Show Answer :
Hint:
106 ÷ 105 = 106-5 = 101
Question 93: b × b × b × b × b =
(A) b5
(B) b4
(C) b6
(D) b3
Answer : (a) b5Show Answer :
Question 94: (-5)4 =
(A) 125
(B) 625
(C) 375
(D) 125
Answer : (b) 625Show Answer :
Hint:
(-5)4 = (-5) × (-5) × (-5) × (-5) = 625
Question 95: am × an =
(A) am+n
(B) am-n
(C) amn
(D) am/n
Answer : (a) am+nShow Answer :
Question 96: am ÷ an =
(A) am+n
(B) am-n
(C) amn
(D) am/n
Answer : (b) am-nShow Answer :
Question 97: (22)3 =
(A) 22
(B) 23
(C) 21
(D) 26
Answer : (d) 26Show Answer :
Hint:
(22)3 = 22×3 = 26
Question 98: (52)10 =
(A) 52
(B) 520
(C) 510
(D) 55
Answer : (b) 520Show Answer :
Hint:
(52)10 = 52×10 = 520
Question 99: (am)n =
(A) am+n
(B) am-n
(C) amn
(D) am/n
Answer : (c) amnShow Answer :
Question 100: If a is any non-zero integer, then a0 =
(A) a
(B) 0
(C) 1
(D) none of these
Answer : (c) 1Show Answer :
Question 101: 30 =
(A) 0
(B) 1
(C) 3
(D) none of these
Answer : (b) 1Show Answer :
Question 102: 30 × 40 × 50 =
(A) 1
(B) 3
(C) 4
(D) 5
Answer : (a) 1Show Answer :
Hint:
30 × 40 × 50 = 1 × 1 × 1 = 1
Question 103: (20 + 30) × 40 =
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (b) 2Show Answer :
Hint:
(20 + 30) × 40 = (1 + 1) × 1 = 2
Question 104: 30 + 40 + 50 =
(A) 1
(B) 2
(C) 3
(D) none of these
Answer : (c) 3Show Answer :
Hint:
30 + 40 + 50 = 1 + 1 + 1 = 3
Question 105: Which of the following is true?
(A) 20 = (100)0
(B) 102 × 108 = 1016
(C) 22 × 33 = 65
(D) 23 > 32
Answer : (a) 20 = (100)0Show Answer :
Hint:
20 = (100)0 = 1
Question 106: (22 × 2)2 =
(A) 23
(B) 24
(C) 25
(D) 26
Answer : (d) 26Show Answer :
Hint:
(22 × 2)2 = (22+1)2 = (23)2 = 23×2 = 26
Question 107:
(A) 1
(B) 3
(C) 5
(D) 8
Answer : (a) 1Show Answer :
Hint:
Question 108: (
(A) a4
(B) a5
(C) a6
(D) a8
Answer : (b) a5Show Answer :
Hint:
(
= a2+3 = a5
Question 109: 82 ÷ 24 =
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (d) 4Show Answer :
Hint:
82 + 24 =
=
Question 110: (-2a)3 =
(A) 2a3
(B) 4a3
(C) 8a3
(D) -8a3
Answer : (d) -8a3Show Answer :
Hint:
(-2a)3 = (-2a) × (-2a) × (-2a) = -8a3
Question 111: am ÷ bm =
(A) am bm
(B) (
(C)
(D) 1
Answer : (b) (Show Answer :
Question 112: (ab)m =
(A) am bm
(B) amb
(C) abm
(D) ab
Answer : (a) am bmShow Answer :
Question 113: 333 in standard form is
(A) 3.33 × 102
(B) 3.33 × 103
(C) 3.33 × 101
(D) 3.33 × 104
Answer : (a) 3.33 × 102Show Answer :
Question 114: 6000 in standard form is
(A) 6 × 103
(B) 6 × 106
(C) 6 × 104
(D) 6 × 105
Answer : (a) 6 × 103Show Answer :
Question 115: 3430000 in standard form is
(A) 3.43 × 106
(B) 3.43 × 104
(C) 3.43 × 102
(D) 3.43 × 1010
Answer : (a) 3.43 × 106Show Answer :
Question 116: 1353000000 in standard form is
(A) 1.353 × 109
(B) 1.353 × 106
(C) 1.353 × 103
(D) 1.353 × 1012
Answer : (a) 1.353 × 109Show Answer :
Question 117: 100000000000 in standard form is
(A) 1 × 108
(B) 1 × 109
(C) 1 × 1010
(D) 1 × 1011
Answer : (d) 1 × 1011Show Answer :
Fill in the blanks.
Question 1: b2 × b3 = ………..
Answer : b5Show Answer :
Question 2: am × bm = ………..
Answer : (ab)mShow Answer :
Question 3: a0 = ………..
Answer : 1Show Answer :
Question 4: The number 104 is read as ………. raised to the power of ………… .
Answer : 10, 4Show Answer :
Question 5: (-1)even number = ………..
Answer : 1Show Answer :
Question 6: c4 ÷ c5 = ………..
Answer : c-1Show Answer :
Question 7: 104 is called the ………… of 10000.
Answer : exponential formShow Answer :
Question 8: (-1)odd number = ………..
Answer : -1Show Answer :
Question 9: c7 ÷ c7 = ………..
Answer : 1Show Answer :
Question 10: Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its ……….. .
Answer : standard formShow Answer :
State whether the given statements are True or False.
Question 1: 10 × 1011 = 10011
Answer : FalseShow Answer :
Question 2: 23 > 52
Answer : FalseShow Answer :
Question 3: 23 × 32 = 65
Answer : FalseShow Answer :
Question 4: 30 = (1000)0
Answer : TrueShow Answer :