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Brilliant’s Composite Mathematics Class 7 Solutions Chapter 4 Exponents
Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Brilliant’s Composite Mathematics Class 7 Math Book, Chapter 4, Exponents. Here students can easily find step by step solutions of all the problems for Exponents, Exercise 4.1, 4.2 and 4.3 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.
Exponents Exercise 4.1 Solution
Question no – (1)
Solution :
Given, (-3/4)3
= -27/64
Question no – (2)
Solution :
Given, (5/4)3
= -125/64
Question no – (3)
Solution :
Given, (-2/5)3
= -8/125
Question no – (4)
Solution :
Given, (-5/7)3
= -125/343
Question no – (5)
Solution :
Given, 625/2401
= (5/7)4
Question no – (6)
Solution :
Given, -1/8
= (-1/2)3
Question no – (7)
Solution :
Given, -8/125
= (-2/5)3
Question no – (8)
Solution :
Given, -27/64
= (-9/4)3
Question no – (9)
Solution :
Given, (4/5)3 × (2/3)3
= (4/5 × 2/3)3
= (8/15)3
= 512/3375
Question no – (10)
Solution :
Given, (3/7)3 ÷ (3/5)2
= 33/73 × 52/32
= 3×52/73
= 3×25/343
= 75/343
Question no – (11)
Solution :
Given, (-3/5)3 ÷ (9/4)2
= -33/53 × 42/92
= -(3×3×3×4×4/5×5×5×9×9)
= -8/175
Question no – (12)
Solution :
Given, (-3/5)4 ÷ (2/7)2
= (3 × 3 × 3 × 3 × 3 × 7 × 7/5 × 5 × 5 × 5 × 2 × 2)
= -3969/2500
Question no – (13)
Solution :
= (-3/7)×(-3/7)×(-3/7)×(-3/7)×(-3/7)
= (-3/7)5
Question no – (14)
Solution :
= 4/5×4/5×4/5×4/5×4/5×4/5
= (4/5)6
Question no – (15)
Solution :
Given, (-1/2)3 × (-3/5)3 × (4/7)2
= -1 × -1 × -1 × -3 × -3 × -3 × 4 × 4/2 × 2 × 2 × 5 × 5 × 5 × 7 × 7
= 54/6125
Question no – (16)
Solution :
Given, (-2/3)3 × (4/-5)2
= -2 × -2 × -2 × 4 × 4/3 × 3 × 3 × -5 × 5
= 128/675
Question no – (17)
Solution :
= 4 × 4 × -5 × -5/7 × 7 × 6 × 6
= -250/1323
Question no – (18)
Solution :
Given, [(3/4)2 – (2/3)3] × (1/3)2
= [9/16 – 8/27]×1/9
= (243-128/432)×1/9
= 115/432×1/9
= 115/3888
Question no – (19)
Solution :
Given, [(3/5)2 – (2/5)3] ÷ (1/5)3
= [9/15 – 8/125] ÷ 1/125
= 225 – 24/375 × 125/1
= 201/375 × 125/1
= 67
Question no – (20)
Solution :
Given, 23
= (1/2)3
Question no – (21)
Solution :
Given, (-3/4)4
= (-4/3)4
Question no – (22)
Solution :
Given, (5/4)6
= (5/4)6
Question no – (23)
Solution :
Given, (-5/9)6
= (-9/5)6
Question no – (24)
Solution :
Given, (-5/7)11
= (-7/5)11
Question no – (25)
Solution :
Given, (5/11)10
= (11/5)10
Question no – (26)
Solution :
Given, (7/13)5
= (13/7)5
Question no – (27)
Solution :
Given, (-6/7)4
= (-7/6)4
Question no – (28)
Solution :
Given, (3/-4)6
= (-7/6)4
Question no – (29)
Solution :
Given, (-2/5)7
= (-5/2)7
Question no – (30)
Solution :
Given, (3/8)9
= (8/3)9
Question no – (31)
Solution :
Given, (12/17)5
= (17/12)5
Exponents Exercise 4.2 Solution
Question no – (1)
Solution :
Given, (-2/3)3 × (-2)7
= 23/33 × -27/37
= -23+7/33+7
= -210/310
= (-2/3)10
Question no – (2)
Solution :
Given, (4/9)5 × (4/9)6
= (4/9)5+6
= (4/9)11
Question no – (3)
Solution :
Given, (-3/7)4 × (-3/7)5
= (-3/7)4+5
= (-3/7)9
Question no – (4)
Solution :
Given, (9/10)10 × (9/1)11
= (9/10)10+11
= (9/10)21
Question no – (5)
Solution :
Given, (-5/11)6 ÷ (-5/11)3
= (-5/11)6+3
= (-5/12)2
Question no – (6)
Solution :
Given, (-7/12)5 ÷ (-7/12)3
= (-7/12)5-3
= (-5/12)2
Question no – (7)
Solution :
Given, (-3/17)9 ÷ (-3/17)4
= (-3/17)9-4
= (-3/12)5
Question no – (8)
Solution :
Given, (3/4)5 ÷ (3/4)2
= (3/4)5-2
= (3/4)3
Question no – (9)
Solution :
Given, [(2/3)3]3
= (2/3)6
= 64/729
Question no – (10)
Solution :
Given, [(-3/4)4]5
= (-3/17)9-4
= (-3/17)5
Question no – (11)
Solution :
Given, [(-11/13)4]3
= (-11/13)12
Question no – (12)
Solution :
Given, (5/)4 ×(5/11)9 ÷ (5/11)13
= (5/11)4+9-13
= (5/11)0
= 1
Question no – (13)
Solution :
Given, (-2/7)6+4-10
= (-2/7)10-10
= (-2/7)0
= 10
Question no – (14)
Solution :
Given, (-3/5)2×4+5-13
= (3/5)8+5-13
= (3/5)0
= 1
Question no – (15)
Solution :
(a) = (-2/5)3 × (-2/5)7
= (-2/5)21
The given statement is False.
(b) (-5/7)7 ÷ (-5/11)11
= (-5/7)4
The given statement is False.
(c) (3/4)2 × (3/4)0 × (3/4)2
= (3/4)4
The given statement is True.
(d) (5/9)0 × (5/9)1 × (5/9)2
= 0
The given statement is False.
Question no – (16)
Solution :
Given, [(a/b)-3]4 × [(a/b)4]5 × [(a/b)-4]2
= [(a/b)]-12 × (a/b)20 × (a/b)-8
= (a/b)0
= 1
Exponents Exercise 4.3 Solution
Question no – (1)
Solution :
Given, (2/3)5 × (2/3)4
= (2/3)5+4
= (2/3)…(Simplified)
Question no – (2)
Solution :
Given, [(5/3)2]9
= (5/3)18 …(Simplified)
Question no – (3)
Solution :
Given, (4/5)13 ÷ (4/5)11
= (4/5)2
= 16/25…(Simplified)
Question no – (4)
Solution :
Given, (3/4)5-5
= (3/4)
= 1…(Simplified)
Question no – (5)
Solution :
Given, [(2/3)-4]3
= (2/3)-12
= (3/2)12…(Simplified)
Question no – (6)
Solution :
Given, (5/6)-2
= (6/5)2
= 36/25…(Simplified)
Question no – (11)
Solution :
Given, (2/3)5
= (3/2)-5
Question no – (12)
Solution :
Given, (-7)3 × (5/4)3
= (-4/35)3
Question no – (13)
Solution :
Given, (26 ÷ 36) ÷ 43
= (3/4)-6
Question no – (14)
Solution :
Given, [(-3/4)2]4
= (-4/3)-8
Question no – (15)
Solution :
= 34/72
∴ need (32/7) with multiplied by (32/72)
Question no – (16)
Solution :
= (3/4)-5 (3/4)-3 = (3/4)4m
= or, (3/4)-8 = 4(3/4)4m
= 4m = – 8
or, m = 8/4
m = 2
Question no – (17)
Solution :
= (2/3)2 ÷ (3/4)-3
= (3/2)2 ÷ (4/3)-3
= (3 × 3/2 × 4)
= (9/8)5
Question no – (18)
Solution :
= (5/6)-3 ÷ (5/6)0 = (5/6)-3
= (a/b)2 = [(5/6)-3]
= (5/6)-6
Question no – (19)
Solution :
= (9/10)-6 × (9/10)4 × 1/3×12
= (9/10)-2 = (10/0)2 × 1/36
= 10 × 10/9 × 9 × 36
= 25/729…(Simplified)
Next Chapter Solution :
👉 Chapter 5 👈