# Brilliant’s Composite Mathematics Class 7 Solutions Chapter 4

## 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)

= -27/64

Question no – (2)

Solution :

Given, (5/4)

= -125/64

Question no – (3)

Solution :

Given, (-2/5)

= -8/125

Question no – (4)

Solution :

Given, (-5/7)

= -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)

= 33/73 × 52/32

= 3×52/73

= 3×25/343

= 75/343

Question no – (11)

Solution :

Given, (-3/5)3 ÷ (9/4)

= -33/53 × 42/92

= -(3×3×3×4×4/5×5×5×9×9)

= -8/175

Question no – (12)

Solution :

Given, (-3/5)÷ (2/7)

= (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)

= -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 × 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)

= [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, 2

= (1/2)

Question no – (21)

Solution :

Given, (-3/4)

= (-4/3)

Question no – (22)

Solution :

Given, (5/4)

= (5/4)

Question no – (23)

Solution :

Given, (-5/9)

= (-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)

= (13/7)5

Question no – (27)

Solution :

Given, (-6/7)

= (-7/6)4

Question no – (28)

Solution :

Given, (3/-4)

= (-7/6)4

Question no – (29)

Solution :

Given, (-2/5)

= (-5/2)

Question no – (30)

Solution :

Given, (3/8)

= (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)

= 23/33 × -27/37

= -23+7/33+7

= -210/310

= (-2/3)10

Question no – (2)

Solution :

Given, (4/9)5 × (4/9)

= (4/9)5+6

= (4/9)11

Question no – (3)

Solution :

Given, (-3/7)4 × (-3/7)

= (-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)

= (-3/17)9-4

= (-3/12)5

Question no – (8)

Solution :

Given, (3/4)5 ÷ (3/4)

= (3/4)5-2

= (3/4)3

Question no – (9)

Solution :

Given, [(2/3)3]

= (2/3)6

= 64/729

Question no – (10)

Solution :

Given, [(-3/4)4]

= (-3/17)9-4

= (-3/17)5

Question no – (11)

Solution :

Given, [(-11/13)4]

= (-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]

= [(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)

= (2/3)5+4

= (2/3)…(Simplified)

Question no – (2)

Solution :

Given, [(5/3)2]

= (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]

= (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)

= (3/2)-5

Question no – (12)

Solution :

Given, (-7)3 × (5/4)

= (-4/35)3

Question no – (13)

Solution :

Given, (26 ÷ 36) ÷ 4

= (3/4)-6

Question no – (14)

Solution :

Given, [(-3/4)2]

= (-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 :

Updated: June 10, 2023 — 4:56 am