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

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Chapters

Concise Mathematics Class 7 ICSE - Shaalaa.com

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 

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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 

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Chapter 5: Exponents (Including Laws of Exponents)

Exercise 5 (A)Exercise 5 (B)
Concise Mathematics Class 7 ICSE - Shaalaa.com

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

Selina solutions for Concise Mathematics Class 7 ICSE chapter 5 (Exponents (Including Laws of Exponents)) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Concise Mathematics Class 7 ICSE solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Selina textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

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.

Using Selina Class 7 solutions Exponents (Including Laws of Exponents) exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Selina Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 7 prefer Selina Textbook Solutions to score more in exam.

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