NCERT Solution For Class 7 Maths – Exponents And Powers

NCERT Solutions is known as an extremely helpful resource for preparing for the exam. Takshila Learning provides its learners with access to a wealth of NCERT problems and their solutions. CBSE Class 7 Science NCERT Solutions are built by subject matter experts, so be sure to train learners for a good grade. The questions set out in the NCERT

NCERT Solution For Class 7 Maths – Integers provides us with all-inclusive information on all concepts. As students would have to learn the basics about the subject in class 7, this curriculum for class 7 is comprehensive study material, which explains the concepts in a great way.

Questions Covered : 

Question 1 : Find the value of:
(i) 26
(ii) 93
(iii) 112
(iv) 54

Question 2 : Express the following in exponential form:
(i) 6 × 6 × 6 × 6
(ii) t × t
(iii) b × b × b × b
(iv) 5 × 5× 7 × 7 × 7
(v) 2 × 2 × a × a
(vi) a × a × a × c × c × c × c × d

Question 3 : Express each of the following numbers using exponential notation:
(i) 512
(ii) 343
(iii) 729
(iv) 3125

Question 4 : Identify the greater number, wherever possible, in each of the following.
(i) 43 or 34
(ii) 53 or 35
(iii) 28 or 82
(iv) 1002 or 2100
(v) 210 or 102

Question 5 : Express each of the following as product of powers of their prime factors:
(i) 648
(ii) 405
(iii) 540
(iv) 3,600

Question 6 : Simplify:
(i) 2 × 103
(ii) 72 × 22
(iii) 23 × 5
(iv) 3 × 44
(v) 0 × 102
(vi) 52 × 33
(vii) 24 × 32
(viii) 32 × 104

Question 7 : Simplify:
(i) (– 4)3
(ii) (–3) × (–2)3
(iii) (–3)2 × (–5)2
(iv) (–2)3 × (–10)3

Question 8 : Compare the following numbers:
(i) 2.7 × 1012 ; 1.5 × 108
(ii) 4 × 1014 ; 3 × 1017

Question 9 : Using laws of exponents, simplify and write the answer in exponential form:
(i) 32 × 34 × 38
(ii) 615 ÷ 610
(iii) a3 × a2
(iv) 7x × 72
(v) (52)3 ÷ 53
(vi) 25 × 55
(vii) a4 × b4
(viii) (34)3
(ix) (220 ÷ 215) × 23
(x) 8t ÷ 82

Question 10 : Simplify and express each of the following in exponential form:
(i) (23 × 34 × 4)/ (3 × 32)
(ii) ((52)3 × 54) ÷ 57
(iii) 254 ÷ 53
(iv) (3 × 72 × 118)/ (21 × 113)
(v) 37/ (34 × 33)
(vi) 20 + 30 + 40
(vii) 20 × 30 × 40
(viii) (30 + 20) × 50
(ix) (28 × a5)/ (43 × a3)
(x) (a5/a3) × a8
(xi) (45 × a8b3)/ (45 × a5b2)
(xii) (23 × 2)2

Question 11 : Say true or false and justify your answer:
(i) 10 × 1011 = 10011
(ii) 23 > 52
(iii) 23 × 32 = 65
(iv) 30 = (1000)0

Question 12 : Express each of the following as a product of prime factors only in exponential form:
(i) 108 × 192
(ii) 270
(iii) 729 × 64
(iv) 768

Question 13 : Simplify:
(i) ((25)2 × 73)/ (83 × 7)
(ii) (25 × 52 × t8)/ (103 × t4)
(iii) (35 × 105 × 25)/ (57 × 65)

Question 14 : Write the following numbers in the expanded forms:
279404
3006194
2806196
120719
20068

Question 15 : Find the number from each of the following expanded forms:
(a) (8 ×10)4 + (6 × 10)3 + (0 × 10)2 + (4 × 10)1 + (5 × 10)0
(b) (4 ×10)5 + (5 × 10)3 + (3 × 10)2 + (2 × 10)0
(c) (3 ×10)4 + (7 × 10)2 + (5 × 10)0
(d) (9 ×10)5 + (2 × 10)2 + (3 × 10)1

Question 16 : Express the following numbers in standard form:
(i) 5,00,00,000
(ii) 70,00,000
(iii) 3,18,65,00,000
(iv) 3,90,878
(v) 39087.8
(vi) 3908.78

Question 17 : Express the number appearing in the following statements in standard form.
(a) The distance between Earth and Moon is 384,000,000 m.
(b) Speed of light in vacuum is 300,000,000 m/s.
(c) Diameter of the Earth is 1,27,56,000 m.
(d) Diameter of the Sun is 1,400,000,000 m.
(e) In a galaxy there are on an average 100,000,000,000 stars.
(f) The universe is estimated to be about 12,000,000,000 years old.
(g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.
(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
(i) The earth has 1,353,000,000 cubic km of sea water.
(j) The population of India was about 1,027,000,000 in March, 2001.