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NCERT Class 8 Mathematics MCQ
Exponents And Powers
with Answers
Question :am x am is equal to
(a) am+n
(b) am-n
(c) amn
(d) an-m
Answer : (a) am+nShow Answer :
Hint:
Formula
Question :am ÷ an is equal to
(a) am-n
(b) am+n
(c) amn
(d) an-m
Answer : (a) am-nShow Answer :
Hint:
Formula
Question :(am)n is equal to
(a) am+n
(b) am-n
(c) amn
(d) an-m
Answer : (c) amnShow Answer :
Hint:
Formula
Question :am × bm is equal to
(a) (ab)m
(b) (ab)-m
(c) am b
(d) abm
Answer : (a) (ab)mShow Answer :
Hint:
Formula
Question :a0 is equal to
(a) 0
(b) 1
(c) -1
(d) a.
Answer : (b) 1Show Answer :
Hint:
Formula
Question :
(a) (
(b) (
(c) (
(d) (
Answer : (a) (Show Answer :
Hint:
Formula
Question :2 × 2 × 2 × 2 × 2 is equal to
(a) 24
(b) 2³
(c) 2²
(d) 25
Answer : (d) 25Show Answer :
Hint:
Formula
Question :In 10², the exponent is
(a) 1
(b) 2
(c) 10
(d) 1.
Answer : (b) 2Show Answer :
Hint:
Definition of exponent
Question :In 10² the base is
(a) 1
(b) 0
(c) 10
(d) 100.
Answer : (c) 10Show Answer :
Hint:
Definition of base
Question :10-1 is equal to
(a) 10
(b) -1
(c)
(d) –
Answer : (c) Show Answer :
Hint:
10-1 =
Question :The multiplicative inverse of 2-3 is
(a) 2
(b) 3
(c) 3
(d) 23
Answer : (d) 23Show Answer :
Hint:
2-3. 2³ = 2-3+3 = 20 = 1
Question :The multiplicative inverse of 105 is
(a) 5
(b) 10
(c) 10-5
(d) 105.
Answer : (c) 10-5Show Answer :
Hint:
105. 10-5 = 25-5 = 100 = 1
Question :The multiplicative inverse of
(a) 25
(b) 2²
(c) 2
(d) 1.
Answer : (b) 2²Show Answer :
Hint:
Question :The multiplicative inverse of 1010 is
(a) 10
(b)
(c) 10-10
(d) 1010.
Answer : (d) 1010Show Answer :
Hint:
10-10.1010 = 10-10+10 = 100 = 1
Question :The multiplicative inverse of am is
(a) a
(b) m
(c) am
(d) a-m
Answer : (d) a-mShow Answer :
Hint:
Definition of multiplicative inverse
Question :5³ × 5-1 is equal to
(a) 5
(b) 5³
(c) 5-1
(d) 5²
Answer : (d) 5²Show Answer :
Hint:
5³ × 5-1 = 53-1 = 5²
Question :(- 2)-5 x (-2)6 is equal to
(a) 2
(b) -2
(c) -5
(d) 6.
Answer : (b) -2Show Answer :
Hint:
(-2)-5 × (-2)6 = (-2)-5+6 = (-2)1 = -2
Question :3² × 3-4 × 35 is equal to
(a) 3
(b) 3²
(c) 3³
(d) 35
Answer : (c) 3³Show Answer :
Hint:
3² × 3-4 × 35 = 32-4+5 = 3³
Question :(-2)-2 is equal to
(a)
(b)
(c) –
(d) –
Answer : (a) Show Answer :
Hint:
(-2)-2 =
Question :(
(a) 2
(b) 2-4
(c) 1
(d) 2-4
Answer : (b) 2-4Show Answer :
Hint:
(
Question :(2° + 4-1) × 2² is equal to
(a) 2
(b) 3
(c) 4
(d) 5
Answer : (d) 5Show Answer :
Hint:
(20 + 4-1) × 2² = (1 +
Question :(2-1 + 3-1 + 5-1)0 is equal to
(a) 2
(b) 3
(c) 5
(d) 1.
Answer : (d) 1Show Answer :
Hint:
(2-1 + 3-1 + 5-1)0 = 1 [∵ a0 = 1]
Question :3m + 3-3 = 35 ⇒ m is equal to
(a) 1
(b) 2
(c) 3
(d) 4.
Answer : (b) 2Show Answer :
Hint:
3m + 3-3= 35 ⇒ 3m+3 = 35
⇒ m + 3 = 5 ⇒ m = 2
Question :(-2)m+1 × (-2)4 = (-2)6 ⇒ m =
(a) 0
(b) 1
(c) -1
(d) none of these.
Answer : (b) 1Show Answer :
Hint:
(-2)m+1 × (-2)4 = (-2)6
⇒ (-2)m+1+4 = (-2)6
⇒ m + 5 = 6 ⇒ m = 1
Question :(-1)50 is equal to
(a) -1
(b) 1
(c) 50
(d) – 50.
Answer : (b) 1Show Answer :
Hint:
(-1) even natural number = 1
Question :(-1)51 is equal to
(a) -1
(b) 1
(c) 51
(d) -51.
Answer : (a) -1Show Answer :
Hint:
(-1) odd natural number = -1
Question :149600000000 is equal to
(a) 1.496 × 1011
(b) 1.496 × 1010
(c) 1.496 × 1012
(d) 1.496 × 108.
Answer : (a) 1.496 × 1011Show Answer :
Hint:
149,600,000,000 = 1.496 × 1011
Question :300000000 is equal to
(a) 3 × 108
(b) 3 × 107
(c) 3 × 106
(d) 3 × 109
Answer : (a) 3 × 108Show Answer :
Hint:
300,000,000 = 3 × 108
Question :0.000007 is equal to
(a) 7 × 10-6
(b) 7 × 10-5
(c) 7 × 10-4
(d) 7 × 10-3
Answer : (a) 7 × 10-6Show Answer :
Hint:
0.000007 = 7 × 10-6
Question :384467000 is equal to
(a) 3.84467 × 108
(b) 3.84467 × 103
(c) 3.84467 × 107
(d) 3.84467 × 106
Answer : (a) 3.84467 × 108Show Answer :
Hint:
384467000 = 3.84467 × 108
Question :0.00001275 is equal to
(a) 1.275 × 10-5
(b) 1.275 × 10-3
(c) 1.275 × 104
(d) 1.275 × 103
Answer : (a) 1.275 × 10-5Show Answer :
Hint:
0.00001275 = 1.275 × 10-5
Question :695000 is equal to
(a) 6.95 × 105
(b) 6.95 × 103
(c) 6.95 × 106
(d) 6.95 × 104
Answer : (a) 6.95 × 105Show Answer :
Hint:
695000 = 6.95 × 105
Question :503600 is equal to
(a) 5.036 × 105
(b) 5.036 × 106
(c) 5.036 × 104
(d) 5.036 × 107
Answer : (a) 5.036 × 105Show Answer :
Hint:
503600 = 5.036 × 105
Question :0.0016 is equal to
(a) 1.6 × 10-3
(b) 1.6 × 10-2
(c) 1.6 × 10-4
(d) 1.6 × 10-5
Answer : (a) 1.6 × 10-3Show Answer :
Hint:
0.0016 = 1.6 × 10-3
Question :0.000003 is equal to
(a) 3 × 10-6
(b) 3 × 106
(c) 3 × 105
(d) 3 × 10-5
Answer : (a) 3 × 10-6Show Answer :
Hint:
0.000003 = 3 × 10-6
Question :8848 is equal to
(a) 8.848 × 103
(b) 8.848 × 10²
(c) 8.848 × 10
(d) 8.848 × 104
Answer : (a) 8.848 × 103Show Answer :
Hint:
8848 = 8.848 × 10³
Question :1.5 × 1011 is equal to
(a) 150000000000
(b) 15000000000
(c) 1500000000
(d) 1500000000000
Answer : (a) 150000000000Show Answer :
Hint:
1.5 × 1011 = 150,000,000,000
Question :2.1 × 10-6 is equal to
(a) 0.0000021
(b) 0.000021
(c) 0.00021
(d) 0.0021.
Answer : (a) 0.0000021Show Answer :
Hint:
2.1 × 10-6 = 0.0000021
Question :2.5 × 104 is equal to
(a) 25
(b) 250
(c) 2500
(d) 25000.
Answer : (d) 25000Show Answer :
Hint:
2.5 × 104 = 25000
Question :0.07 × 1010 is equal to
(a) 700000000
(b) 7000000
(c) 7000
(d) 7.
Answer : (a) 700000000Show Answer :
Hint:
0.07 × 1010 = 700,000,000.
Question :The value of 2-2 is:
(a) 4
(b) ¼
(c) 2
(d) ½
Answer : (b) ¼Show Answer :
Hint:
2-2 = 1/22 = ¼
Question :The multiplicative inverse of 7-2 is:
(a) 72
(b) 7
(c) 1/72
(d) 1/7
Answer : (a) 72Show Answer :
Hint:
The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
7-2 = 1/72
Hence, 72 x 1/72 = 1
Question :22 x 23 x 24 is equal to:
(a) 224
(b) 2-5
(c) 29
(d) 2-9
Answer : (c) 29Show Answer :
Hint:
By laws of exponents:
am x an = am+n
22 x 23 x 24 = 22+3+4 = 29
Question :3-2 x 3-5 is equal to:
(a) 3-7
(b) 3-3
(c) 3-10
(d) 37
Answer : (a) 3-7Show Answer :
Hint:
3-2 x 3-5 = (1/32) x (1/35)
= (1/32+5)
= (1/37)
= 3-7
Question :54/52 is equal to:
(a) 56
(b) 5-6
(c) 5-2
(d) 52
Answer : (d) 52Show Answer :
Hint:
By exponent law:
am/an = am-n
54/52 = 54-2 = 52
Question :The value of (34)3 is:
(a) 3
(b) 312
(c) 37
(d) None of the above
Answer : (b) 312Show Answer :
Hint:
By law of exponent:
(am)n = amn
(34)3 = 34×3 = 312
Question :32 x 42 is equal to:
(a) 121
(b) 49
(c) 144
(d) 156
Answer : (c) 144Show Answer :
Hint:
By exponent law;
am x bm = (ab)m
32 x 42 = (3×4)2 = 122 = 144
Question :57/67 will give the value:
(a) (5/6)7
(b) (5/6)0
(c) (5/6)-7
(d) (6/5)-7
Answer : (a) (5/6)7Show Answer :
Hint:
By exponent law:
am/bm = (a/b)m
57/67 = (⅚)7
Question :1000+200+50 is equal to
(a) 125
(b) 25
(c) 1/125
(d) 3
Answer : (d) 3Show Answer :
Hint:
By exponent law we know:
a0 = 1
1000 + 200 + 50 = 1 + 1 + 1 = 3
Question :If (–3)m+1 × (-3)5 = (-3)7, then the value of m is:
(a) 5
(b) 7
(c) 1
(d) 3
Answer : (c) 1Show Answer :
Explanation: (-3)m+1 × (-3)5 = (-3)7
(-3)m+1+5 = (-3)7
(-3)m+6 = (-3)7
Since, base are equal on both the sides, hence if we compare the powers,
m + 6 = 7
m = 7 – 6 = 1
Question : In 10² the base is
(a) 1
(b) 0
(c) 10
(d) 100
Answer :(c) 10Show Answer :
Question : am ÷ an is equal to
(a) am-n
(b) am+n
(c) amn
(d) an-m
Answer :(a)Show Answer :
Question : The value of (3° + 5°) × 2² is.
(a) 8
(b) 34
(c) 12
(d) 0
Answer :(a) 8Show Answer :
Question : (am)n is equal to
(a) am+n
(b) am-n
(c) amn
(d) an-m
Answer :(c)Show Answer :
Question : Evaluate the exponential expression (−n)4× (−n)2, for n = 5.
(a) 25
(b) 15625
(c) 3125
(d) 625
Answer :(d) 15625Show Answer :
Question : a° is equal to
(a) 0
(b) 1
(c) -1
(d) a.
Answer :(d) 1Show Answer :
Question : The value of (2° + 3° + 5°) is equal to
(a) 2
(b) 3
(c) 1
(d) 4
Answer :(d) 3Show Answer :
Question : The Base in the expression 1024 is __.
(a) 1
(b) 10
(c) 0
(d) 24
Answer :(d) 10Show Answer :
Question : Very small numbers can be expressed in standard form using __ exponents.
(a) equal
(b) negative
(c) positive
(d) none of these
Answer :(d) negativeShow Answer :
Question : 2 × 2 × 2 × 2 × 2 is equal to
(a) 24
(b) 2³
(c) 2²
(d) 25
Answer :(d) 25Show Answer :
Question : The standard form of 0.0016 is equal to
(a) 1.6 × 10-3
(b) 1.6 × 10-2
(c) 1.6 × 10-4
(d) 1.6 × 10-5
Answer :(d)Show Answer :
Question : Evaluate exponential expression − 25.
(a) 15
(b) -32
(c) 16
(d) none of these
Answer :(d) -32Show Answer :
Question : The value of 1000° is
(a) 0
(b) 1000
(c) 1
(d) None of these
Answer :(c) 1Show Answer :
Question : In 10² the base is
(a) 1
(b) 0
(c) 10
(d) 100.
Answer :(c) 10Show Answer :
Question : The multiplicative inverse of 2-3 is
(a) 2
(b) 3
(c) 3
(d) 23
Answer :(d) 23Show Answer :
Question : The multiplicative inverse of 2-3 is
(a) 2
(b) 3
(c) 3
(d) 2³
Answer :(d) 2³Show Answer :
Question : The multiplicative inverse of 105 is
(a) 5
(b) 10
(c) 10-5
(d) 105.
Answer :(c)Show Answer :
Question : Evaluate exponential expression − 25.
(a) 15
(b) -32
(c) 16
(d) none of these
Answer :(d) -32Show Answer :
Question : The multiplicative inverse of am is
(a) a
(b) m
(c) am
(d) a-m
Answer :(d)Show Answer :
Question : The Base in the expression 1024 is __.
(a) 1
(b) 10
(c) 0
(d) 24
Answer :(d) 10Show Answer :
Question :The value of 72 is
(a) 7
(b) 49
(c) 2
(d) 14
Answer : (b) 49Show Answer :
Question :16 is the multiplicative inverse of
(a) 2-4
(b) 28
(c) 82
(d) 24
Answer : (a) 2-4Show Answer :
Question :In 102 the base is
(a) 1
(b) 0
(c) 10
(d) 100
Answer : (c) 10Show Answer :
Question :Charge of an electron is 0.000,000,000,000,000,000,16 coulomb and in exponential form it can be written as
(a) 16 × 10-18 coulomb
(b) 1.6 × 10-21 coulomb
(c) 1.6 × 10-19 coulomb
(d) 16 × 10-21 coulomb
Answer : (c) 1.6 × 10-19 coulombShow Answer :
Question :Evaluate the exponential expression (−n)4× (−n)2, for n = 5.
(a) 25
(b) 15625
(c) 3125
(d) 625
Answer : (b) 15625Show Answer :
Question :Value of (30 + 20) × 50 is
(a) 1
(b) 25
(c) 2
(d) 0
Answer : (c) 2Show Answer :
Question :When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.
(a) same
(b) different
(c) not equal
(d) None of these
Answer : (a) sameShow Answer :
Question :Fill in the blank am × an = a …….. where m and n are natural numbers:-
(a) mn
(b) m + n
(c) m – n
(d)
Answer : (b) m + nShow Answer :
Question :Very small numbers can be expressed in standard form using __________ exponents.
(a) equal
(b) negative
(c) positive
(d) none of these
Answer : (b) negativeShow Answer :
Question :Multiplicative inverse of 7-2 is _________
(a) 49
(b) 5
(c) 7
(d) -14
Answer : (a) 49Show Answer :
Question :The value of 10000 is
(a) 0
(b) 1000
(c) 1
(d) None of these
Answer : (c) 1Show Answer :
Question :The standard form of 9030000000 is given by
(a) 9.03 × 109
(b) 90.3 × 107
(c) 903 × 106
(d) 9.03 × 10-9
Answer : (a) 9.03 × 109Show Answer :
Question :The multiplicative inverse of 2-3 is
(a) 2
(b) 3
(c) 3
(d) 23
Answer : (d) 23Show Answer :
Question :Find the value of the expression a2 for a = 10.
(a) 100
(b) 1
(c) 10
(d) None of these
Answer : (a) 100Show Answer :
Question :Evaluate exponential expression − 25.
(a) 15
(b) -32
(c) 16
(d) none of these
Answer : (b) -32Show Answer :
Question :In exponential form 149,600,000,000 m is given by :
(a) 1.496 × 1011 m
(b) 1.496 × 108 m
(c) 14.96 × 108 m
(d) 14.96 × 1011 m
Answer : (a) 1.496 × 1011 mShow Answer :
Question :The value of 30 is ________.
(a) 0
(b) 3
(c) 1
(d) None of these
Answer : (c) 1Show Answer :
Question :The value of (
(a) 9
(b) 1
(c) -6
(d) 1/3
Answer : (a) 9Show Answer :
Question :The Base in the expression 1024 is __________.
(a) 1
(b) 10
(c) 0
(d) 24
Answer : (b) 10Show Answer :
Question :(am)n is equal to
(a) am+n
(b) am-n
(c) amn
(d) an-m
Answer : (c) amnShow Answer :
Question : The value of 2-2 is:
(a) 4
(b) ¼
(c) 2
(d) ½
Answer :BShow Answer :
Explanation: 2-2 = 1/22 = ¼
Question : The multiplicative inverse of 7-2 is:
(a) 72
(b) 7
(c) 1/72
(d) 1/7
Answer :AShow Answer :
Explanation: The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
7-2 = 1/72
Hence, 72 x 1/72 = 1
Question : 22 x 23 x 24 is equal to:
(a) 224
(b) 2-5
(c) 29
(d) 2-9
Answer : CShow Answer :
Explanation: By laws of exponents:
am x an = am+n
22 x 23 x 24 = 22+3+4 = 29
Question : 3-2 x 3-5 is equal to:
(a) 3-7
(b) 3-3
(c) 3-10
(d) 37
Answer :AShow Answer :
Explanation: 3-2 x 3-5 = (1/32) x (1/35)
= (1/32+5)
= (1/37)
= 3-7
Question : 54/52 is equal to:
(a) 56
(b) 5-6
(c) 5-2
(d) 52
Answer 😀Show Answer :
Explanation: By exponent law:
am/an = am-n
54/52 = 54-2 = 52
Question : The value of (34)3 is:
(a) 3
(b) 312
(c) 37
(d) None of the above
Answer :BShow Answer :
Explanation: By law of exponent:
(am)n = amn
(34)3 = 34×3 = 312
Question : 32 x 42 is equal to:
(a) 121
(b) 49
(c) 144
(d) 156
Answer :CShow Answer :
Explanation: By exponent law;
am x bm = (ab)m
32 x 42 = (3×4)2 = 122 = 144
Question : 57/67 will give the value:
(a) (⅚)7
(b) (⅚)0
(c) (⅚)-7
(d) (6/5)-7
Answer :AShow Answer :
Explanation: By exponent law:
am/bm = (a/b)m
57/67 = (⅚)7
Question : 1000+200+50 is equal to
(a) 125
(b) 25
(c) 1/125
(d) 3
Answer 😀Show Answer :
Explanation: By exponent law we know:
a0 = 1
1000 + 200 + 50 = 1+1+1 = 3
Question : If (–3)m+1 × (–3)5 = (–3)7, then the value of m is:
(a) 5
(b) 7
(c) 1
(d) 3
Answer :CShow Answer :
Explanation: (–3)m+1 × (–3)5 = (–3)7
(-3)m+1+5 = (-3)7
(-3)m+6 = (-3)7
Since, base are equal on both the sides, hence if we compare the powers,
m+6 = 7
m=7-6 = 1
Question : Find the multiplicative inverse of 5-3.
A. 53
B. ⅕
C. 52
D. 5-2
Answer : AShow Answer :
Explanation: The multiplicative inverse of 5-3 is 53.
5-3 x 53 = 1
Question : The multiplicative inverse of 1/32 is:
A. 3-2
B. 32
C. 3
D. ⅓
Answer : B. 32Show Answer :
Explanation: The multiplicative inverse of 1/32 is 32.
1/32 x 32 = 1
Question : What is the value of 42 x 4-2?
A. 16
B. 8
C. 1
D. 0
Answer : C.1Show Answer :
Explanation: 42 x 4-2
By law of exponents:
= 42+(-2) = 42-2 = 40 = 1
Question : (⅓)2 is equal to:
A. 9
B. -9
C. -1/9
D. 1/9
Answer : D. 1/9Show Answer :
Explanation: (⅓)2 = (⅓ x ⅓) = 1/9
Question : What is the value of (22 + 32 + 42)0?
A. 9
B. 0
C. 1
D. 14
Answer : C.1Show Answer :
Explanation: The value of (22 + 32 + 42)0 is 1.
By exponent law, any value raised to the power 0 is equal to 1.
Question : (-1)20 is equal to:
A. -1
B. 1
C. 0
D. 20
Answer : B.1Show Answer :
Explanation: (-1)20 is equal to 1 because if a negative number is raised to the power of an even number, then the resulting value will be positive.
Question : 700000000 is equal to:
A. 7 × 108
B. 7 × 107
C. 7 × 106
D. 7 × 109
Answer : A. 7 × 108Show Answer :
Question : 865000 is equal to:
A. 8.65 × 105
B. 8.65 × 103
C. 8.65 × 106
D. 8.65 × 104
Answer : A. 8.65 × 105Show Answer :
Question : 1.8 × 1011 is equal to:
A. 180000000000
B. 18000000000
C. 1800000000
D. 1800000000000
Answer : A. 180000000000Show Answer :
Question : 0.09 × 1010 is equal to:
A. 900000000
B. 9000000
C. 9000
D. 9
Answer : A. 900000000Show Answer :





