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Maths Ace Class 7 Solutions Chapter 5 Powers and Exponents
Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Maths Ace Prime Class 7 Math Book, Chapter 5, Powers and Exponents. Here students can easily find step by step solutions of all the problems for Powers and Exponents, Exercise 5.1, 5.2 and 5.3 Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 5 solutions.
Powers and Exponents Exercise 5.1 Solution :
Question no – (2)
Solution :
(a) (- 2) × (- 2) × (- 2)
= (- 2)3
(b) k × k × k × k
= k4
(c) 8 × 8 × 8
= 83
(d) n × n × n × m × m × m × d
= n3m3d
(e) (- 5) × (- 5) × a × a × a × a × b
= (-5)2 a3b
(f) Product of b squared and c cubed
= b2c3
Question no – (3)
Solution :
(a) 15.625
= 56
(b) – 2, 197
= (- 13)3
(c) 27/125
= (3/5)3
(d) 81/49
= 92/72
(e) 243/1,00,000
= 35/25 × 55
(f) -125/343
= (- 5/7)3
Question no – (4)
Solution :
(a) (- 6)2
= 36
(b) (- 13)3
= – 2197
(c) (5/2)3
= 125/8
(d) (- 4)6
= 4096
(e) (- 1/3)6
= 1/729
(f) (- 2/7)3
= – 8/343
Question no – (5)
Solution :
(a) 324
= 22 × 34
(b) 675
= 33 × 52
(c) 4, 800
= 26 × 3 × 52
(d) 2.000
= 34 × 53
(e) 1.024
= 210
(f) 864
= 25 × 33
Powers and Exponents Exercise 5.2 Solution :
Question no – (1)
Solution :
(a) 23 × 24
= 27
(b) 36 × 94
= 36 × (32)2 × (32)2
= 314
(c) 45 × 9 × 5
= (45)2
(d) 73 × 75
= 78
(e) ab × a3
= a3ab
(f) (abc)3 × (abc)4
= (- 2/3)–4
Question no – (2)
Solution :
(a) 46 ÷ 43
= 43
(b) 34 ÷ 35
= 3-1
(c) a5x ÷ ax
= a4x
(d) a6 ÷ ay
= a6-y
(e) 83 ÷ 212
= 8-9
(f) (- 2/3)3 ÷ (- 2/3)7
= (-2/3)-4
Question no – (3)
Solution :
(a) (33)2
= 36
(b) (- 43)2
= – 46
(c) (- 52)-2
= – 5-4
(d) (103)-2
= 10-6
(e) (ax)3
= a3x
(f) (a3)2
= a6
Question no – (4)
Solution :
(a) 24 × 34
= (2 × 3)4
= 64
(b) 3-6 ÷ 7-6
= (3/7)-6
= (7/6)6
(c) (- 2/5)-3 × (3/4)-3
= (-2/5 × 3/4)-3
= (-3/10)-3
= (10/-3)3
(d) a3 ÷ b3
= (a/b)3
(e) 1/2 × (1/4)4
= 1/2 × (1/2)8
= (1/2)9
(f) (xa × ya)
= (xy)a
(g) (30 × 50)
= 1 × 1
= 1
(h) ax ÷ ay
= (a)x – y
(i) 43÷ 73
= (28)3
(j) (1/2)-2 × {(3)0}5
= 22 × 15
= 4 × 1
= 4
Question no – (5)
Solution :
(a) (23)6 × 93/42 × 27
= (23)6 × 36/(22)2 × 33
= 218 × 36/24 × 33
= 216 × 33
(b) 35 × 73/52 × 343
= 5 × 7 × 73/52 × 73
= (7/5)1
(c) {(24 × 36/122)0}3
= (1)3
= (1)1
(d) 133 × 70/{(65 × 49)2}1
= (13)3 × 1/(13 × 5 × 7 × 7)2
= 133/132 × 52 × 72 × 72
= 13/52 × 74
Powers and Exponents Exercise 5.3 Solution :
Question no – (1)
Solution :
(a) 7,20,00,00,000
= 7.2 × 109
(b) 23,45,00,000
= 2.345 × 108
(c) 6,99,99,99,990
= 6. 99999999 × 109
(d) 76/10,000
= 7.6 × 10-3
(e) 625
= 6.25 × 102
(f) 0.0000008
= 8 × 10-7
Question no – (2)
Solution :
(a) 9.018 × 105
∴ The usual form is,
= 901800
(b) 3.14071 × 105
∴ The usual form is,
= 314071
(c) 8.9 × 10-4
∴ The usual form is,
= 0.00089
(d) 4.57 × 109
∴ The usual form is,
= 4570000000
(e) 5.15 × 10-3
∴ The usual form is,
= 0.00515
(f) 2.159 × 10-5
∴ The usual form is,
= 0.00002159
Question no – (3)
Solution :
(a) 207345
= 2 × 100000 + 7000 + 300 + 4 + 5
= 2 × 105 + 7 × 103 + 3 × 102 + 4 × 10 + 5 10°
(b) 4648
= 4000 + 600 + 40 + 8
= 4 × 103 + 6 × 102 + 4 × 101 × 8 × 10°
(c) 1969601
= 1000000 + 900000 + 60000 + 9000 + 600 + 1
= 1 × 106 + 9 × 105 + 6 × 104 + 9 × 103 + 6 × 102 + 1 × 10°
= 4 × 105 + 4 × 104 + 5 × 103 + 6 × 10 + 7 × 10
(d) 44506
= 400000 + 40000 + 5000 + 60 + 7
= 4 × 105 + 4 × 104 + 5 × 103 + 6 × 10 + 7 × 10°
Next Chapter Solution :
👉 Chapter 6 👈
