# Selina solutions for Concise Mathematics Class 7 ICSE chapter 5 - Exponents (Including Laws of Exponents) [Latest edition]

## Chapter 5: Exponents (Including Laws of Exponents)

Exercise 5 (A)Exercise 5 (B)
Exercise 5 (A)

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 5 Exponents (Including Laws of Exponents) Exercise 5 (A)

Exercise 5 (A) | Q 1.1

Find the value of: 6²

Exercise 5 (A) | Q 1.2

Find the value of: 73

Exercise 5 (A) | Q 1.3

Find the value of: 4

Exercise 5 (A) | Q 1.4

Find the value of: 55

Exercise 5 (A) | Q 1.5

Find the value of: 83

Exercise 5 (A) | Q 1.6

Find the value of: 75

Exercise 5 (A) | Q 2.1

Evaluate: 23 x 42

Exercise 5 (A) | Q 2.2

Evaluate: 23 x 52

Exercise 5 (A) | Q 2.3

Evaluate: 33 x 52

Exercise 5 (A) | Q 2.4

Evaluate: 22 x 33

Exercise 5 (A) | Q 2.5

Evaluate: 32 x 53

Exercise 5 (A) | Q 2.6

Evaluate: 53 x 24

Exercise 5 (A) | Q 2.7

Evaluate: 32 x 42

Exercise 5 (A) | Q 2.8

Evaluate: (4 x 3)3

Exercise 5 (A) | Q 2.9

Evaluate: (5 x 4)2

Exercise 5 (A) | Q 3.1

Evaluate: (3/4)^4

Exercise 5 (A) | Q 3.2

Evaluate: (- 5/6)^5

Exercise 5 (A) | Q 3.3

Evaluate: ((- 3)/(- 5))^3

Exercise 5 (A) | Q 4.1

Evaluate: (2/3)^3 xx (3/4)^2

Exercise 5 (A) | Q 4.2

Evaluate: (- 3/4)^3 xx (2/3)^4

Exercise 5 (A) | Q 4.3

Evaluate: (3/5)^2 xx (- 2/3)^3

Exercise 5 (A) | Q 5.1

Which is greater:

23 or 32

Exercise 5 (A) | Q 5.2

Which is greater:

25 or 52

Exercise 5 (A) | Q 5.3

Which is greater:

43 or 34

Exercise 5 (A) | Q 5.4

Which is greater:

54 or 45

Exercise 5 (A) | Q 6.1

Express the following in exponential form: 512

Exercise 5 (A) | Q 6.2

Express the following in exponential form: 1250

Exercise 5 (A) | Q 6.3

Express the following in exponential form: 1458

Exercise 5 (A) | Q 6.4

Express the following in exponential form: 3600

Exercise 5 (A) | Q 6.5

Express the following in exponential form: 1350

Exercise 5 (A) | Q 6.6

Express the following in exponential form: 1176

Exercise 5 (A) | Q 7.1

If a = 2 and b = 3, find the value of: (a + b)

Exercise 5 (A) | Q 7.2

If a = 2 and b = 3, find the value of: (b – a)2

Exercise 5 (A) | Q 7.3

If a = 2 and b = 3, find the value of: (a x b)a

Exercise 5 (A) | Q 7.4

If a = 2 and b = 3, find the value of: (a x b)b

Exercise 5 (A) | Q 8.1

Express: 1024 as a power of 2.

Exercise 5 (A) | Q 8.2

Express: 343 as a power of 7.

Exercise 5 (A) | Q 8.3

Express: 729 as a power of 3.

Exercise 5 (A) | Q 9

If 27 × 32 = 3x × 2y; find the values of x and y.

27 × 32 = 3x × 2

27 = 3x

 3 27 3 9 3 3 1
Exercise 5 (A) | Q 10.1

If 64 x 625 = 2a x 5b ; find:  the values of a and b.

Exercise 5 (A) | Q 10.2

If 64 x 625 = 2a x 5b ; find: 2b x 5a

Exercise 5 (B)

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 5 Exponents (Including Laws of Exponents) Exercise 5 (B)

Exercise 5 (B) | Q 1.1

Fill in the blanks:

In 52 = 25, base = _______ and index = _________.

Exercise 5 (B) | Q 1.2

Fill in the blank:

If index = 3x and base = 2y, the number = ______.

Exercise 5 (B) | Q 2.1

Evaluate: 28 ÷ 23

Exercise 5 (B) | Q 2.2

Evaluate: 23 ÷ 28

Exercise 5 (B) | Q 2.3

Evaluate: (26)0

Exercise 5 (B) | Q 2.4

Evaluate: (30)

Exercise 5 (B) | Q 2.5

Evaluate: 83 x 8-5 x 84

Exercise 5 (B) | Q 2.6

Evaluate: 54 x 53 + 55

Exercise 5 (B) | Q 2.7

Evaluate: 54 ÷ 53 x 5

Exercise 5 (B) | Q 2.8

Evaluate: 44 ÷ 43 x 40

Exercise 5 (B) | Q 2.9

Evaluate: (35 x 47 x 58)

Exercise 5 (B) | Q 3.01

Simplify, giving Solution with positive index

2b6. b3. 5b4

Exercise 5 (B) | Q 3.02

Simplify, giving Solution with positive index

x2y3. 6x5y. 9x3y4

Exercise 5 (B) | Q 3.03

Simplify, giving Solution with positive index

(- a5) (a2

Exercise 5 (B) | Q 3.04

Simplify, giving Solution with positive index

(- y2) (- y3)

Exercise 5 (B) | Q 3.05

Simplify, giving Solution with positive index

(-3)2 (3)3

Exercise 5 (B) | Q 3.06

Simplify, giving Solution with positive index

(- 4x) (-5x2

Exercise 5 (B) | Q 3.07

Simplify, giving Solution with positive index

(5a2b) (2ab2) (a3b)

Exercise 5 (B) | Q 3.08

Simplify, giving Solution with positive index

x2a +7. x2a-8

Exercise 5 (B) | Q 3.09

Simplify, giving Solution with positive index

3y. 32. 3-4

Exercise 5 (B) | Q 3.1

Simplify, giving Solution with positive index

2^"4a". 2^("3a") .2^(-"a")

Exercise 5 (B) | Q 3.11

Simplify, giving Solution with positive index

4x2y2 ÷ 9x3y3

Exercise 5 (B) | Q 3.12

Simplify, giving Solution with positive index

(102)3 (x8)12

Exercise 5 (B) | Q 3.13

Simplify, giving Solution with positive index

(a10)10 (16)10

Exercise 5 (B) | Q 3.14

Simplify, giving Solution with positive index

(n2)2 (- n2)2

Exercise 5 (B) | Q 3.15

Simplify, giving Solution with positive index

- (3ab)2 (-5a2bc4)2

Exercise 5 (B) | Q 3.16

Simplify, giving Solution with positive index

(-2)2 × (0)3 × (3)3

Exercise 5 (B) | Q 3.17

Simplify, giving Solution with positive index

(2a3)4 (4a2)2

Exercise 5 (B) | Q 3.18

Simplify, giving Solution with positive index

(4x2y3)3 ÷ (3x2y3)3

Exercise 5 (B) | Q 3.19

Simplify, giving Solution with positive index

(1/"2x")^3 xx (6"x")^2

Exercise 5 (B) | Q 3.2

Simplify, giving Solution with positive index

(1/("4ab"^2"c"))^2 div (3/(2"a"^2"bc"^2))^4

Exercise 5 (B) | Q 3.21

Simplify, giving Solution with positive index

((5"x"^7)^3 . (10"x"^2)^2)/(2"x"^6)^7 = (5^3 "x"^(7xx3) . 10^2 . "x"^(2xx2))/(2^7. "x"^(6xx7))

Exercise 5 (B) | Q 3.22

Simplify, giving Solution with positive index

((7 "p"^2 "q"^9 "r"^5)^2 (4 "pqr")^3)/(14 "p"^6 "q"^10 "r"^4)^2

Exercise 5 (B) | Q 4.1

Simplify and express the Solution in the positive exponent form:

((-3)^3 xx 2^6)/(6 xx 2^3)

Exercise 5 (B) | Q 4.2

Simplify and express the Solution in the positive exponent form:

((2^3)^5 xx 5^4)/(4^3 xx 5^2)

Exercise 5 (B) | Q 4.3

Simplify and express the Solution in the positive exponent form:

(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)

Exercise 5 (B) | Q 4.4

Simplify and express the Solution in the positive exponent form:

- 128/2187

Exercise 5 (B) | Q 4.5

Simplify and express the Solution in the positive exponent form:

("a"^-7 xx "b"^-7 xx "c"^5 xx "d"^4)/("a"^3 xx "b"^-5 xx "c"^-3 xx "d"^8)

Exercise 5 (B) | Q 4.6

Simplify and express the Solution in the positive exponent form:

("a"^3 "b"^(-5))^-2 = "a"^(3 xx -2) "b"^(-5 xx -2)

Exercise 5 (B) | Q 5.1

Evaluate: 6^-2 div (4^-2 xx 3^-2)

Exercise 5 (B) | Q 5.2

Evaluate: [(5/6)^2 xx 9/4] div [(- 3^2/2) xx 125/216]

Exercise 5 (B) | Q 5.3

Evaluate: 53 × 32 + (17)0 × 73

Exercise 5 (B) | Q 5.4

Evaluate: 2^5 xx 15^0 + (-3)^3 - (2/7)^-2

Exercise 5 (B) | Q 5.5

Evaluate: (2^2)^0 + 2^-4 div 2^-6 + (1/2)^-3

Exercise 5 (B) | Q 5.6

Evaluate: 5^"n" xx 25^("n" - 1) div (5^("n" -1) xx 25^("n" - 1))

Exercise 5 (B) | Q 6.1

If m2 = -2 and n = 2; find the values of: m + r2 – 2mn

Exercise 5 (B) | Q 6.2

If m2 = -2 and n = 2; find the values of: mn + nm

Exercise 5 (B) | Q 6.3

If m2 = -2 and n = 2; find the values of: 6m-3 + 4n2

Exercise 5 (B) | Q 6.4

If m2 = -2 and n = 2; find the values of: 2n3 – 3m

## Chapter 5: Exponents (Including Laws of Exponents)

Exercise 5 (A)Exercise 5 (B)

## Selina solutions for Concise Mathematics Class 7 ICSE chapter 5 - Exponents (Including Laws of Exponents)

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Concepts covered in Concise Mathematics Class 7 ICSE chapter 5 Exponents (Including Laws of Exponents) are Concept for Exponents Only Natural Numbers., Laws of Exponents (Through Observing Patterns to Arrive at Generalisation.), Concept for Application of Laws of Exponents in Simple Daily Life Problems, Concept of Exponents.

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