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Students can also refer to NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers for better exam preparation and score more marks.
Online Education for Exponents and Powers Class 8 MCQs Questions with Answers
Exponents And Powers Class 8 MCQ Question 1.
am x am is equal to
(a) am+n
(b) am-n
(c) amn
(d) an-m
Answer
Answer: (a) am+n
Hint:
Formula
MCQ On Exponents And Powers For Class 8 Question 2.
am ÷ an is equal to
(a) am-n
(b) am+n
(c) amn
(d) an-m
Answer
Answer: (a) am-n
Hint:
Formula
Class 8 Maths Chapter 12 MCQ Question 3.
(am)n is equal to
(a) am+n
(b) am-n
(c) amn
(d) an-m
Answer
Answer: (c) amn
Hint:
Formula
Class 8 Exponents And Powers MCQ Question 4.
am × bm is equal to
(a) (ab)m
(b) (ab)-m
(c) am b
(d) abm
Answer
Answer: (a) (ab)m
Hint:
Formula
MCQ Of Exponents And Powers Class 8 Question 5.
a0 is equal to
(a) 0
(b) 1
(c) -1
(d) a.
Answer
Answer: (b) 1
Hint:
Formula
Exponents And Powers MCQ Class 8 Question 6.
\(\frac{a^m}{b^m}\) is equal to bm
(a) (\(\frac{a}{b}\))m
(b) (\(\frac{b}{a}\))m
(c) (\(\frac{a^m}{b}\))m
(d) (\(\frac{a}{b^m}\))m
Answer
Answer: (a) (\(\frac{a}{b}\))m
Hint:
Formula
MCQ Questions On Exponents And Powers For Class 8 Question 7.
2 × 2 × 2 × 2 × 2 is equal to
(a) 24
(b) 2³
(c) 2²
(d) 25
Answer
Answer: (d) 25
Hint:
Formula
MCQ Questions For Class 8 Maths Exponents And Powers Question 8.
In 10², the exponent is
(a) 1
(b) 2
(c) 10
(d) 1.
Answer
Answer: (b) 2
Hint:
Definition of exponent
Class 8 Maths Exponents And Powers MCQ Question 9.
In 10² the base is
(a) 1
(b) 0
(c) 10
(d) 100.
Answer
Answer: (c) 10
Hint:
Definition of base
MCQ Exponents And Powers Class 8 Question 10.
10-1 is equal to
(a) 10
(b) -1
(c) \(\frac{1}{10}\)
(d) –\(\frac{1}{10}\)
Answer
Answer: (c) \(\frac{1}{10}\)
Hint:
10-1 = \(\frac{1}{10^1}\) = \(\frac{1}{10}\)
MCQs On Exponents And Powers Class 8 Question 11.
The multiplicative inverse of 2-3 is
(a) 2
(b) 3
(c) 3
(d) 23
Answer
Answer: (d) 23
Hint:
2-3. 2³ = 2-3+3 = 20 = 1
Class 8 Maths Ch 12 MCQ Question 12.
The multiplicative inverse of 105 is
(a) 5
(b) 10
(c) 10-5
(d) 105.
Answer
Answer: (c) 10-5
Hint:
105. 10-5 = 25-5 = 100 = 1
Exponents And Powers Class 8 MCQ Pdf Question 13.
The multiplicative inverse of \(\frac{1}{2^2}\) is 22
(a) 25
(b) 2²
(c) 2
(d) 1.
Answer
Answer: (b) 2²
Hint:
\(\frac{1}{2^2}\) = 2² = 1
MCQ Questions For Class 8 Maths Chapter 12 Question 14.
The multiplicative inverse of 1010 is
(a) 10
(b) \(\frac{1}{10}\)
(c) 10-10
(d) 1010.
Answer
Answer: (d) 1010
Hint:
10-10.1010 = 10-10+10 = 100 = 1
Exponents And Powers Class 8 MCQ With Answers Question 15.
The multiplicative inverse of am is
(a) a
(b) m
(c) am
(d) a-m
Answer
Answer: (d) a-m
Hint:
Definition of multiplicative inverse
MCQ Questions On Exponents For Class 8 With Answers Question 16.
5³ × 5-1 is equal to
(a) 5
(b) 5³
(c) 5-1
(d) 5²
Answer
Answer: (d) 5²
Hint:
5³ × 5-1 = 53-1 = 5²
Class 8 Maths Chapter Exponents And Powers MCQ Question 17.
(- 2)-5 x (-2)6 is equal to
(a) 2
(b) -2
(c) -5
(d) 6.
Answer
Answer: (b) -2
Hint:
(-2)-5 × (-2)6 = (-2)-5+6 = (-2)1 = -2
Exponents And Powers Class 8 Extra Questions MCQ Question 18.
3² × 3-4 × 35 is equal to
(a) 3
(b) 3²
(c) 3³
(d) 35
Answer
Answer: (c) 3³
Hint:
3² × 3-4 × 35 = 32-4+5 = 3³
MCQ For Exponents And Powers Class 8 Question 19.
(-2)-2 is equal to
(a) \(\frac{1}{4}\)
(b) \(\frac{1}{2}\)
(c) –\(\frac{1}{2}\)
(d) –\(\frac{1}{4}\)
Answer
Answer: (a) \(\frac{1}{4}\)
Hint:
(-2)-2 = \(\frac{1}{(-2)^2}\) = \(\frac{1}{4}\)
Exponents And Powers Class 8 MCQ Questions Question 20.
(\(\frac{1}{2}\))-4 is equal to
(a) 2
(b) 2-4
(c) 1
(d) 2-4
Answer
Answer: (b) 2-4
Hint:
(\(\frac{1}{2}\))-4 = \(\frac{(1)^{-4}}{(2)^{-4}}\) = \(\frac{1}{(2)^{-4}}\) = 24
Exponents And Radicals Class 8 MCQ Question 21.
(2° + 4-1) × 2² is equal to
(a) 2
(b) 3
(c) 4
(d) 5
Answer
Answer: (d) 5
Hint:
(20 + 4-1) × 2² = (1 + \(\frac{1}{4}\)) × 4 = \(\frac{5}{4}\) × 4 = 5
Question 22.
(2-1 + 3-1 + 5-1)0 is equal to
(a) 2
(b) 3
(c) 5
(d) 1.
Answer
Answer: (d) 1
Hint:
(2-1 + 3-1 + 5-1)0 = 1 [∵ a0 = 1]
Question 23.
3m + 3-3 = 35 ⇒ m is equal to
(a) 1
(b) 2
(c) 3
(d) 4.
Answer
Answer: (b) 2
Hint:
3m + 3-3= 35 ⇒ 3m+3 = 35
⇒ m + 3 = 5 ⇒ m = 2
Question 24.
(-2)m+1 × (-2)4 = (-2)6 ⇒ m =
(a) 0
(b) 1
(c) -1
(d) none of these.
Answer
Answer: (b) 1
Hint:
(-2)m+1 × (-2)4 = (-2)6
⇒ (-2)m+1+4 = (-2)6
⇒ m + 5 = 6 ⇒ m = 1
Question 25.
(-1)50 is equal to
(a) -1
(b) 1
(c) 50
(d) – 50.
Answer
Answer: (b) 1
Hint:
(-1) even natural number = 1
Question 26.
(-1)51 is equal to
(a) -1
(b) 1
(c) 51
(d) -51.
Answer
Answer: (a) -1
Hint:
(-1) odd natural number = -1
Question 27.
149600000000 is equal to
(a) 1.496 × 1011
(b) 1.496 × 1010
(c) 1.496 × 1012
(d) 1.496 × 108.
Answer
Answer: (a) 1.496 × 1011
Hint:
149,600,000,000 = 1.496 × 1011
Question 28.
300000000 is equal to
(a) 3 × 108
(b) 3 × 107
(c) 3 × 106
(d) 3 × 109
Answer
Answer: (a) 3 × 108
Hint:
300,000,000 = 3 × 108
Question 29.
0.000007 is equal to
(a) 7 × 10-6
(b) 7 × 10-5
(c) 7 × 10-4
(d) 7 × 10-3
Answer
Answer: (a) 7 × 10-6
Hint:
0.000007 = 7 × 10-6
Question 30.
384467000 is equal to
(a) 3.84467 × 108
(b) 3.84467 × 103
(c) 3.84467 × 107
(d) 3.84467 × 106
Answer
Answer: (a) 3.84467 × 108
Hint:
384467000 = 3.84467 × 108
Question 31.
0.00001275 is equal to
(a) 1.275 × 10-5
(b) 1.275 × 10-3
(c) 1.275 × 104
(d) 1.275 × 103
Answer
Answer: (a) 1.275 × 10-5
Hint:
0.00001275 = 1.275 × 10-5
Question 32.
695000 is equal to
(a) 6.95 × 105
(b) 6.95 × 103
(c) 6.95 × 106
(d) 6.95 × 104
Answer
Answer: (a) 6.95 × 105
Hint:
695000 = 6.95 × 105
Question 33.
503600 is equal to
(a) 5.036 × 105
(b) 5.036 × 106
(c) 5.036 × 104
(d) 5.036 × 107
Answer
Answer: (a) 5.036 × 105
Hint:
503600 = 5.036 × 105
Question 34.
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
Answer: (a) 1.6 × 10-3
Hint:
0.0016 = 1.6 × 10-3
Question 35.
0.000003 is equal to
(a) 3 × 10-6
(b) 3 × 106
(c) 3 × 105
(d) 3 × 10-5
Answer
Answer: (a) 3 × 10-6
Hint:
0.000003 = 3 × 10-6
Question 36.
8848 is equal to
(a) 8.848 × 103
(b) 8.848 × 10²
(c) 8.848 × 10
(d) 8.848 × 104
Answer
Answer: (a) 8.848 × 103
Hint:
8848 = 8.848 × 10³
Question 37.
1.5 × 1011 is equal to
(a) 150000000000
(b) 15000000000
(c) 1500000000
(d)1500000000000.
Answer
Answer: (a) 150000000000
Hint:
1.5 × 1011 = 150,000,000,000
Question 38.
2.1 × 10-6 is equal to
(a) 0.0000021
(b) 0.000021
(c) 0.00021
(d) 0.0021.
Answer
Answer: (a) 0.0000021
Hint:
2.1 × 10-6 = 0.0000021
Question 39.
2.5 × 104 is equal to
(a) 25
(b) 250
(c) 2500
(d) 25000.
Answer
Answer: (d) 25000
Hint:
2.5 × 104 = 25000
Question 40.
0.07 × 1010 is equal to
(a) 700000000
(b) 7000000
(c) 7000
(d) 7.
Answer
Answer: (a) 700000000
Hint:
0.07 × 1010 = 700,000,000.
Question 41.
The value of 2-2 is:
(a) 4
(b) ¼
(c) 2
(d) ½
Answer
Answer: (b) ¼
Hint:
2-2 = 1/22 = ¼
Question 42.
The multiplicative inverse of 7-2 is:
(a) 72
(b) 7
(c) 1/72
(d) 1/7
Answer
Answer: (a) 72
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 43.
22 x 23 x 24 is equal to:
(a) 224
(b) 2-5
(c) 29
(d) 2-9
Answer
Answer: (c) 29
Hint:
By laws of exponents:
am x an = am+n
22 x 23 x 24 = 22+3+4 = 29
Question 44.
3-2 x 3-5 is equal to:
(a) 3-7
(b) 3-3
(c) 3-10
(d) 37
Answer
Answer: (a) 3-7
Hint:
3-2 x 3-5 = (1/32) x (1/35)
= (1/32+5)
= (1/37)
= 3-7
Question 45.
54/52 is equal to:
(a) 56
(b) 5-6
(c) 5-2
(d) 52
Answer
Answer: (d) 52
Hint:
By exponent law:
am/an = am-n
54/52 = 54-2 = 52
Question 46.
The value of (34)3 is:
(a) 3
(b) 312
(c) 37
(d) None of the above
Answer
Answer: (b) 312
Hint:
By law of exponent:
(am)n = amn
(34)3 = 34×3 = 312
Question 47.
32 x 42 is equal to:
(a) 121
(b) 49
(c) 144
(d) 156
Answer
Answer: (c) 144
Hint:
By exponent law;
am x bm = (ab)m
32 x 42 = (3×4)2 = 122 = 144
Question 48.
57/67 will give the value:
(a) (5/6)7
(b) (5/6)0
(c) (5/6)-7
(d) (6/5)-7
Answer
Answer: (a) (5/6)7
Hint:
By exponent law:
am/bm = (a/b)m
57/67 = (⅚)7
Question 49.
1000+200+50 is equal to
(a) 125
(b) 25
(c) 1/125
(d) 3
Answer
Answer: (d) 3
Hint:
By exponent law we know:
a0 = 1
1000 + 200 + 50 = 1 + 1 + 1 = 3
Question 50.
If (–3)m+1 × (-3)5 = (-3)7, then the value of m is:
(a) 5
(b) 7
(c) 1
(d) 3
Answer
Answer: (c) 1
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
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