# CBSEtips.in

## Thursday, 25 February 2021

### CBSE Class 7 Maths - MCQ and Online Tests - Unit 13 - Exponents and Powers

#### CBSE Class 7 Maths – MCQ and Online Tests – Unit 13 – Exponents and Powers

Every year CBSE students attend Annual Assessment exams for 6,7,8,9,11th standards. These exams are very competitive to all the students. So our website provides online tests for all the 6,7,8,9,11th standards’ subjects. These tests are also very effective and useful for those who preparing for any competitive exams like Olympiad etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE syllabus. While attempting these, our students can identify their weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly

#### CBSE Class 7 Maths – MCQ and Online Tests – Unit 13 – Exponents and Powers

Question 1.
If 23 × 24 = 2?, then ? =
(a) 3
(b) 4
(c) 1
(d) 7

Hint:
23 × 24 = 23+4 = 27

Question 2.
If (- 3)4 × (-3)6 = (-3)?, then ? =
(a) 4
(b) 10
(c) 6
(d) 12

Hint:
(-3)4 × (-3)6 = (-3)4+6 = (-3)10

Question 3.
The exponential form of 81 is
(a) 34
(b) 33
(c) 32
(d) none of these

Hint:
81 = 3 × 3 × 3 × 3 = 34

Question 4.
The exponential form of 125 is
(a) 54
(b) 53
(c) 52
(d) none of these

Hint:
125 = 5 × 5 × 5 = 53

Question 5.
The exponential form of 32 is
(a) 23
(b) 24
(c) 25
(d) none of these

Hint:
32 = 2 × 2 × 2 × 2 × 2 = 25

Question 6.
The exponential form of 243 is
(a) 35
(b) 34
(c) 33
(d) 32

Hint:
243 = 3 × 3 × 3 × 3 × 3 = 35

Question 7.
The exponential form of 64 is
(a) 25
(b) 26
(c) 27
(d) 28

Hint:
64 = 2 × 2 × 2 × 2 × 2 × 2 = 26

Question 8.
The exponential form of 625 is
(a) 52
(b) 53
(c) 54
(d) 55

Hint:
625 = 5 × 5 × 5 × 5 = 54

Question 9.
The exponential form of 1000 is
(a) 101
(b) 102
(c) 103
(d) 104

Hint:
1000 = 10 × 10 × 10 = 103

Question 10.
The exponential form of 10000 is
(a) 103
(b) 104
(c) 105
(d) none of these

Hint:
10000 = 10 × 10 × 10 × 10 = 104

Question 11.
The exponential form of 100000 is
(a) 103
(b) 104
(c) 105
(d) none of these

Hint:
100000 = 10 × 10 × 10 × 10 × 10 = 105

Question 12.
What is the base in 82?
(a) 8
(b) 2
(c) 6
(d) 10

Question 13.
What is the exponent in 82?
(a) 8
(b) 2
(c) 16
(d) 6

Question 14.
0 × 104 =
(a) 0
(b) 104
(c) 1
(d) none of these

Question 15.
27 ÷ 23 =
(a) 24
(b) 210
(d) 2
(d) $$\frac { 1 }{ 2 }$$

Hint:
27÷ 23 = 27-3 = 24

Question 16.
If a is any non-zero integer, then a0 =
(a) a
(b) 0
(c) 1
(d) none of these

Question 17.
30 =
(a) 0
(b) 1
(c) 3
(d) none of these

Question 18.
30 × 40 × 50 =
(a) 1
(b) 3
(c) 4
(d) 5

Hint:
30 × 40 × 50 = 1 × 1 × 1 = 1

Question 19.
106 ÷ 105 =
(a) 101
(b) 105
(c) 106
(d) 1011

Hint:
106 ÷ 105 = 106-5 = 101

Question 20.
b × b × b × b × b =
(a) b5
(b) b4
(c) b6
(d) b3

Question 21.
(-5)4 =
(a) 125
(b) 625
(c) 375
(d) 125

Hint:
(-5)4 = (-5) × (-5) × (-5) × (-5) = 625

Question 22.
am × an =
(a) am+n
(b) am-n
(c) amn
(d) am/n

Question 23.
am ÷ an =
(a) am+n
(b) am-n
(c) amn
(d) am/n

Question 24.
(22)3 =
(a) 22
(b) 23
(c) 21
(d) 26

Hint:
(22)3 = 22×3 = 26

Question 25.
(52)10 =
(a) 52
(b) 520
(c) 510
(d) 55

Hint:
(52)10 = 52×10 = 520

Question 26.
(am)n =
(a) am+n
(b) am-n
(c) amn
(d) am/n

Question 27.
(20 + 30) × 40 =
(a) 1
(b) 2
(c) 3
(d) 4

Hint:
(20 + 30) × 40 = (1 + 1) × 1 = 2

Question 28.
3430000 in standard form is
(a) 3.43 × 106
(b) 3.43 × 104
(c) 3.43 × 102
(d) 3.43 × 1010

Question 29.
1353000000 in standard form is
(a) 1.353 × 109
(b) 1.353 × 106
(c) 1.353 × 103
(d) 1.353 × 1012

Question 30.
100000000000 in standard form is
(a) 1 × 108
(b) 1 × 109
(c) 1 × 1010
(d) 1 × 1011

Question 31.
(ab)m =
(a) am bm
(b) amb
(c) abm
(d) ab

Question 32.
333 in standard form is
(a) 3.33 × 102
(b) 3.33 × 103
(c) 3.33 × 101
(d) 3.33 × 104

Question 33.
6000 in standard form is
(a) 6 × 103
(b) 6 × 106
(c) 6 × 104
(d) 6 × 105

Question 34.
30 + 40 + 50 =
(a) 1
(b) 2
(c) 3
(d) none of these

Hint:
30 + 40 + 50 = 1 + 1 + 1 = 3

Question 35.
Which of the following is true?
(a) 20 = (100)0
(b) 102 × 108 = 1016
(c) 22 × 33 = 65
(d) 23 > 32

Hint:
20 = (100)0 = 1

Question 36.
(22 × 2)2 =
(a) 23
(b) 24
(c) 25
(d) 26

Hint:
(22 × 2)2 = (22+1)2 = (23)2 = 23×2 = 26

Question 37.
$$\frac { { 3 }^{ 8 } }{ { 3 }^{ 5 }\times { 3 }^{ 3 } } =$$
(a) 1
(b) 3
(c) 5
(d) 8

Hint:
$$\frac{3^8}{3^5×3^3}$$ = $$\frac{3^8}{3^{5+3}}$$ = $$\frac{3^8}{3^8}$$ = 1

Question 38.
($$\frac { { a }^{ 4 } }{ { a }^{ 2 } } \times { a }^{ 3 }=$$)
(a) a4
(b) a5
(c) a6
(d) a8

Hint:
($$\frac{a^4}{a^2}$$) × a3 = a4-2 × a3 = a2 × a3
= a2+3 = a5

Question 39.
82 ÷ 24 =
(a) 1
(b) 2
(c) 3
(d) 4

Hint:
82 + 24 = $$\frac{(2×2×2)^2}{2^4}$$ = $$\frac{(2^3)^2}{2^4}$$
= $$\frac{2^{3×2}}{2^4}$$ = $$\frac{2^6}{2^4}$$ = 26-4 = 22 = 4

Question 40.
(-2a)3 =
(a) 2a3
(b) 4a3
(c) 8a3
(d) -8a3

Hint:
(-2a)3 = (-2a) × (-2a) × (-2a) = -8a3

Question 41.
am ÷ bm =
(a) am bm
(b) ($$\frac { a }{ b }$$)m
(c) $$\frac { a }{ b }$$
(d) 1

Answer: (b) ($$\frac { a }{ b }$$)m

Question 42.
(-1)even number =
(a) -1
(b) 1
(c) 0
(d) none of these

Question 43.
(-1)odd number =
(a) -1
(b) 1
(c) 0
(d) none of these