MCQ on Exponents and Powers for Class 7
Class 7 Maths Chapter 11 Exponents and Powers MCQ
MCQ of The Exponents and Powers Class 7
I. Multiple choice Questions:
Question 1.
a3 × a2 × a-1 = ______ ( )
A) a
B) a6
C) a5
D) a4
Answer:
D) a4
Question 2.
(a3)2 = ______ ( )
A) a6
B) a5
C) a23
D) a4
Answer:
A) a6
Question 3.
(a0 + b0)0 = ______ ( )
A) 4
B) 3
C) 1
D) 2
Answer:
C) 1
Question 4.
\(\left(\frac{1}{3}\right)^{-1}\) = ______ ( )
A) 4
B) \(\frac { 1 }{ 4 }\)
C) \(\frac { 1 }{ 3 }\)
D) 3
Answer:
D) 3
Question 5.
1000.5 = ______ ( )
A) -3
B) 10
C) \(\frac { 1 }{ 10 }\)
D) 8
Answer:
B) 10
Question 6.
If x3 × x7 = xk, then K = ______ ( )
A) 3
B) 7
C) 4
D) 10
Answer:
D) 10
Question 7.
If \(\left(\frac{1}{2}\right)^x\) × \(\left(\frac{1}{2}\right)^{x-1}\) = \(\left(\frac{1}{2}\right)^{11}\), then x = ______ ( )
A) 7
B) 6
C) 4
D) 2
Answer:
B) 6
Question 8.
(32)3 = ______ ( )
A) 311
B) 39
C) 37
D) 36
Answer:
D) 36
Question 9.
(625)1/2 = ______ ( )
A) 65
B) 25
C) 35
D) 45
Answer:
B) 25
Question 10.
20200 – 20210 = ______ ( )
A) 11
B) -2021
C) 4
D) 0
Answer:
D) 0
Question 11.
If \(\left(\frac{2}{3}\right)^x\) = \(\left(\frac{3}{2}\right)^4\), then x = ______ ( )
A) -8
B) 4
C) -4
D) 2
Answer:
C) -4
Question 12.
am × a-n = ______ ( )
A) na
B) m
C) a
D) 1
Answer:
D) 1
Question 13.
\(\frac{a^m}{a^{-n}}\) = ______ ( )
A) am + n
B) am
C) an
D) amn
Answer:
A) am + n
Question 14.
[(22)2]2 = ______ ( )
A) 28
B) 222
C) 220
D) 24
Answer:
A) 28
Question 15.
If 2m × 26 = 28, then m = ______ ( )
A) -2
B) 2
C) 3
D) 4
Answer:
B) 2
Question 16.
(729)1/6 = ______ ( )
A) 3
B) 4
C) 6
D) 9
Answer:
A) 3
Question 17.
\(\frac{1}{32^{\frac{1}{5}}}\) = ______ ( )
A) \(\frac { -1 }{ 2 }\)
B) 3
C) 2
D) \(\frac { 1 }{ 2 }\)
Answer:
D) \(\frac { 1 }{ 2 }\)
Question 18.
(4° – 3°) (4° + 3°) = ______ ( )
A) 1
B) 0
C) 2
D) -2
Answer:
B) 0
Question 19.
If (8m)3 = 824, them m = ______ ( )
A) 4
B) 9
C) 8
D) 5
Answer:
C) 8
Question 20.
If 3x-2 = 81, then x = ______ ( )
A) -9
B) 3
C) 4
D) 6
Answer:
D) 6
Question 21.
If (3x)3 = 93, then x = ______
A) 4
B) 3
C) 5
D) 6
Answer:
B) 3
Question 22.
If x-2 m = x-4, then x = ______ ( )
A) 2
B) 4
C) 6
D) 7
Answer:
A) 2
Question 23.
If 8x – 1 = 512, then x = ______ ( )
A) -4
B) 7
C) 3
D) 4
Answer:
D) 4
Question 24.
(125)2/3 = ______ ( )
A) 20
B) 19
C) 25
D) 16
Answer:
C) 25
Question 25.
90 – 80 + 70 – 60 + 50 – 40 = ______ ( )
A) 4
B) 0
C) 2
D) -1
Answer:
B) 0
Question 26.
If 3x – 3 = 27, then x = ______ ( )
A) 7
B) 6
C) 4
D) 5
Answer:
B) 6
Question 27.
\(\frac{a \times b \times c}{a^2 b^2 \times c^4}\) = ______ ( )
A) \(\frac { ab }{ c }\)
B) \(\frac{a^2 b^2}{c^3}\)
C) abc3
D) \(\frac{1}{a b c^3}\)
Answer:
D) \(\frac{1}{a b c^3}\)
Question 28.
3.7 × 1012 = ______ ( )
A) 9 × 106
B) 37 × 1012
C) 37 × 1011
D) 7 × 10
Answer:
C) 37 × 1011
Question 29.
\(\frac{10^{12}}{10^{-8}}\) = ______ ( )
A) 1020
B) 1016
C) 10
D) 1010
Answer:
A) 1020
Question 30.
35× 25 = ______ ( )
А) 78
B) 63
C) 56
D) 65
Answer:
D) 65
Question 31.
\(\frac{2^3 \times 3^4}{32 \times 81}\) = ______ ( )
A) \(\frac { 1 }{ 4 }\)
B) -4
C) \(\frac { 1 }{ 2 }\)
D) \(\frac { -1 }{ 3 }\)
Answer:
A) \(\frac { 1 }{ 4 }\)
Questions 32.
119 + 117 = ______ ( )
A) 101
B) 121
C) 111
D) 114
Answer:
B) 121
Question 33.
648 = ______ ( )
A) 32 × 43
B) 23 × 34
C) 32 × 14
D) 9 × 3
Answer:
B) 23 × 34
Question 34.
\(\frac { -64 }{ 27 }\) = ______ ( )
A) \(\left(\frac{2}{3}\right)^9\)
B) \(\frac{4}{41}\)
C) \(\left(\frac{4}{3}\right)^{-3}\)
D) \(\left(\frac{-4}{3}\right)^3\)
Answer:
D) \(\left(\frac{-4}{3}\right)^3\)
Question 35.
\(\frac{1}{1^0+2^0}\) = ______ ( )
A) 1
B) \(\frac { 1 }{ 3 }\)
C) \(\frac { 1 }{ 2 }\)
D) 0
Answer:
C) \(\frac { 1 }{ 2 }\)
Question 36.
\(\frac{-1}{243}\) = ______ ( )
A) \(\left(\frac{-1}{7}\right)^3\)
B) \(\frac { 1 }{ 2 }\)
C) \(\frac { 1 }{ 2 }\)
D) \(\frac { 1 }{ 2 }\)
Answer:
D) \(\frac { 1 }{ 2 }\)
Question 37.
24 × 32 × 52 = ______ ( )
A) 3600
B) 1800
C) 3200
D) 1400
Answer:
A) 3600
Question 38.
[2-1)-1]-1 = ______ ( )
A) \(\frac { 1 }{ 2 }\)
B) 3
C) 2
D) \(\frac { 1 }{ 4 }\)
Answer:
C) 2
Question 39.
23 × 53 = ______ ( )
A) 700
B) 1000
C) 1100
D) 900
Answer:
B) 1000
Question 40.
55 = ______ ( )
A) 2135
B) 3125
C) 1125
D) 1170
Answer:
B) 3125
Question 41.
22 × 33 × 5 = ______ ( )
A) 840
B) 140
C) 540
D) 640
Answer:
C) 540
Question 42.
(-2)4 × (-2)2 = ______ ( )
A) 64
B) 60
C) \(\frac { 1 }{ 32 }\)
D) -64
Answer:
A) 64
Question 43.
\(\frac { 25 }{ 16 }\) – \(\left(\frac{5}{4}\right)^2\) = ______ ( )
A) -2
B) -1
C) 1
D) 0
Answer:
D) 0
Question 44.
\(\left(\frac{1}{2}\right)^3\) ÷ (2)3 = ______ ( )
A) \(\frac { -1 }{ 6 }\)
B) \(\frac { 1 }{ 64 }\)
C) \(\frac { 1 }{ 32 }\)
D) 64
Answer:
B) \(\frac { 1 }{ 64 }\)
Question 45.
\(\left(\frac{-2}{5}\right)^3\) = ______ ( )
A) \(\frac { -8 }{ 125 }\)
B) \(\frac { 8 }{ 51 }\)
C) \(\frac { -8 }{ 151 }\)
D) None
Answer:
A) \(\frac { -8 }{ 125 }\)
Question 46.
[[(x3)-1]-1]-1 = ______ ( )
A) 2x3
B) x2
C) x3
D) x-3
Answer:
D) x-3
Question 47.
[(x-2)-1]-2 = ______ ( )
A) x3
B) x-4
C) x4
D) x-2
Answer:
C) x4
Question 48.
\(\frac { -1 }{ 216 }\) = ______ ( )
A) -63
B) \(\left(\frac{-1}{6}\right)^3\)
C) \(\left(\frac{1}{4}\right)^3\)
D) \(\frac { 1 }{ 19 }\)
Answer:
B) \(\left(\frac{-1}{6}\right)^3\)
Question 49.
[(30)-1]-1 = ______ ( )
A) 1
B) 2
C) \(\frac { 1 }{ 2 }\)
D) \(\frac { -1 }{ 3 }\)
Answer:
A) 1
Question 50.
(1156)1/2 = ______ ( )
A) 60
B) 34
C) 18
D) 19
Answer:
B) 34
II. Fill in the blanks:
Question 51.
Exponential form of 2800 is ______
Answer:
24 × 52 × 7
Question 52.
\(\left(\frac{3}{7}\right)^2\) = ______
Answer:
\(\frac { 9 }{ 49 }\)
Question 53.
112 – 102 = ______
Answer:
21
Question 54.
29 = ______
Answer:
512
Question 55.
\(\frac { 121 }{ 64 }\) = \(\left(\frac{a}{b}\right)^2\), then a + b = ______
Answer:
19
Question 56.
(2-1 + 3-1 + 4-1)0 = ______
Answer:
0
Question 57.
32 × 33 × 34 = ______
Answer:
39
Question 58.
Exponential form of 400 is ______
Answer:
24 × 52
Question 59.
23 × \(\left(\frac{3}{4}\right)^2\) = ______
Answer:
\(\frac { 9 }{ 2 }\)
Question 60.
\(\frac{14^4}{\left(14^2\right)^2}\) = ______
Answer:
1
Question 61.
(3XY2)3 = ______
Answer:
27x3y6
Question 62.
(220 ÷ 217) × 24 ______
Answer:
27
Question 63.
252 ÷ 52 = ______
Answer;
25
Question 64.
Prime factors of 1800 is ______
Answer:
23 x 52 x 32
Question 65.
If 3p+l = 37, then P = ______
Answer:
6
Question 66.
\(\left(\frac{66}{77}\right)^n\) = ______
Answer:
1
Question 67.
xm × xn = ______
Answer:
xm + n
Question 68.
xb ÷ xa = ______
Answer:
xb – a
Question 69.
x0 = 1 if ______
Answer:
x ≠ 0
Question 70.
\(\left(\frac{1}{2112}\right)^0\) = ______
Answer:
1
Question 71.
If 72n + 1 × 72 = 79, then n = ______
Answer:
3
Question 72.
If 9n = \(\frac { 1 }{ 27 }\), then n = ______
Answer:
\(\frac { -3 }{ 2 }\)
Question 73.
6 × 1000 + 7 × 100 + 4 × 10 + 6 × 1 = ______
Answer:
6746
Question 74.
3.1865 × 109 = ______
Answer:
3186500000
Question 75.
If 2p = 1024, then p – 1 = ________
Answer:
9
Question 76.
a1 = ________
Answer:
a
Question 77.
\(\frac{x^m}{x^{-m}}\) = ________
Answer:
x2m
Question 78.
4 × 104 + 4 × 102 + 5 × 100 = ______
Answer:
40405
Question 79.
3n+1 × 3-3 = 39, then n = ______
Answer:
11
Question 80.
(121)\(\frac { 3 }{ 2 }\) = ______
Answer:
1331
III. Match the following:
Question 81.
i) am × an | a) am |
ii) am ÷ an | b) amn |
iii) a-m | c) am+n |
iv) (am)n | d) am-n |
A) i – d, ii – c, iii – b, iv – a
B) i – a, ii – b, iii – d, iv – d
C) i – c, ii – d, iii – a, iv – b
D) i – d, ii – b, iii – a, iv – c
Answer:
A) i – d, ii – c, iii – b, iv – a
Question 82.
i) 25 | a) 81 |
ii) 52 | b) 32 |
iii) 34 | c) 64 |
iv) 43 | d) 25 |
A) i – a, ii – c, iii – b, iv – d
B) i – b, ii – d, iii – a, iv – c
C) i – d, ii – b, iii – c, iv – a
D) i – a, ii – c, iii – d, iv – b
Answer:
B) i – b, ii – d, iii – a, iv – c
Question 83.
i) (ab)m | a) \(\frac{a^m}{b^m}\) |
ii) \(\left(\frac{a}{b}\right)^m\) | b) amn |
iii) (a-m)-n | c) \(\frac { b }{ a }\) |
iv) \(\left(\frac{a}{b}\right)^{-1}\) | d) ambm |
A) i – d, ii – a, iii – b, iv – c
B) i – a, ii – c, iii – b, iv – d
C) i – b, ii – c, iii – a, iv – d
D) i – d, ii – c, iii – b, iv – a
Answer:
A) i – d, ii – a, iii – b, iv – c
Question 84.
i) 251/2 | a) 11 |
ii) 1211/2 | b) 32 |
iii) 1691/2 | c) 5 |
iv) 10241/2 | d) 13 |
A) i – d, ii – b, iii – a, iv – c
B) i – a, ii – c, iii – b, iv – d
C) i – a, ii – b, iii – d, iv – c
D) i – c, ii – a, iii – d, iv – b
Answer:
D) i – c, ii – a, iii – d, iv – b
Case study based Questions:
Question 87.
Based on the given below formulae answer the following questions.
1) am × an = am+n
2) (am)n = amn
3) am ÷ an = am-n
4) a0 = 1
5) (ab)m = am . bm
6) \(\frac{a^m}{b^m}\) = \(\left(\frac{a}{b}\right)^m\)
Questions
i) 34 × 39 = ______ ( )
A) 316
B) 311
C) 312
D) 313
Answer:
D) 313
ii) 2000 = ______ ( )
A) 4
B) 0
C) 1
D) 2
Answer:
C) 1
iii) (72)3 = ______ ( )
A) 76
B) 77
C) 75
D) 7
Answer:
A) 76
iv) 311 ÷ 39 _________ ( )
A) 9
B) 7
C) 3
D) 71
Answer:
A) 9
v) (3°+ 1°) (3° – 1)° = _______ ( )
A) -3
B) 2
C) 1
D) 0
Answer:
D) 0
vi) 6253/2 = _________ ( )
A) 253
B) 25
C) 125
D) 115
Answer:
A) 253