#### Chapters

Chapter 2: Rational Numbers

Chapter 3: Fractions (Including Problems)

Chapter 4: Decimal Fractions (Decimals)

Chapter 5: Exponents (Including Laws of Exponents)

Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Chapter 7: Unitary Method (Including Time and Work)

Chapter 8: Percent and Percentage

Chapter 9: Profit, Loss and Discount

Chapter 10: Simple Interest

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Chapter 12: Simple Linear Equations (Including Word Problems)

Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

Chapter 14: Lines and Angles (Including Construction of angles)

Chapter 15: Triangles

Chapter 16: Pythagoras Theorem

Chapter 17: Symmetry (Including Reflection and Rotation)

Chapter 18: Recognition of Solids (Representing 3-D in 2-D)

Chapter 19: Congruency: Congruent Triangles

Chapter 20: Mensuration

Chapter 21: Data Handling

Chapter 22: Probability

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

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

Find the value of: 6²

Find the value of: 7^{3}

Find the value of: 4^{4 }

Find the value of: 5^{5}

Find the value of: 8^{3}

Find the value of: 7^{5}

Evaluate: 2^{3} x 4^{2}

Evaluate: 2^{3} x 5^{2}

Evaluate: 3^{3} x 5^{2}

Evaluate: 2^{2} x 3^{3}

Evaluate: 3^{2} x 5^{3}

Evaluate: 5^{3} x 2^{4}

Evaluate: 3^{2} x 4^{2}

Evaluate: (4 x 3)^{3}

Evaluate: (5 x 4)^{2}

Evaluate: `(3/4)^4`

Evaluate: `(- 5/6)^5`

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

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

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

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

**Which is greater:**

2^{3} or 3^{2}

**Which is greater:**

2^{5} or 5^{2}

**Which is greater:**

4^{3} or 3^{4}

**Which is greater:**

5^{4} or 4^{5}

Express the following in exponential form: 512

Express the following in exponential form: 1250

Express the following in exponential form: 1458

Express the following in exponential form: 3600

Express the following in exponential form: 1350

Express the following in exponential form: 1176

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

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

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

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

Express: 1024 as a power of 2.

Express: 343 as a power of 7.

Express: 729 as a power of 3.

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

27 × 32 = 3^{x} × 2^{y }

27 = 3^{x}

3 | 27 |

3 | 9 |

3 | 3 |

1 |

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

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

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

**Fill in the blanks: **

In 5^{2} = 25, base = _______ and index = _________.

**Fill in the blank: **

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

Evaluate: 2^{8} ÷ 2^{3}

Evaluate: 2^{3} ÷ 2^{8}

Evaluate: (2^{6})^{0}

Evaluate: (3^{0})^{6 }

Evaluate: 8^{3} x 8^{-5} x 8^{4}

Evaluate: 5^{4} x 5^{3} + 5^{5}

Evaluate: 5^{4} ÷ 5^{3} x 5^{5 }

Evaluate: 4^{4} ÷ 4^{3} x 4^{0}

Evaluate: (3^{5} x 4^{7} x 5^{8})^{0 }

**Simplify, giving Solution with positive index**

2b^{6}. b^{3}. 5b^{4}

**Simplify, giving Solution with positive index**

x^{2}y^{3}. 6x^{5}y. 9x^{3}y^{4}

**Simplify, giving Solution with positive index**

(- a^{5}) (a^{2})

**Simplify, giving Solution with positive index**

(- y^{2}) (- y^{3})

**Simplify, giving Solution with positive index**

(-3)^{2} (3)^{3}

**Simplify, giving Solution with positive index**

(- 4x) (-5x^{2})

**Simplify, giving Solution with positive index**

(5a^{2}b) (2ab^{2}) (a^{3}b)

**Simplify, giving Solution with positive index**

x^{2a +7}. x^{2a-8 }

**Simplify, giving Solution with positive index**

3^{y}. 3^{2}. 3^{-4}

**Simplify, giving Solution with positive index**

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

**Simplify, giving Solution with positive index**

4x^{2}y^{2} ÷ 9x^{3}y^{3}

**Simplify, giving Solution with positive index**

(10^{2})^{3} (x^{8})^{12}

**Simplify, giving Solution with positive index**

(a^{10})^{10} (1^{6})^{10}

**Simplify, giving Solution with positive index**

(n^{2})^{2} (- n^{2})^{2}

**Simplify, giving Solution with positive index**

- (3ab)^{2} (-5a^{2}bc^{4})^{2}

**Simplify, giving Solution with positive index**

(-2)^{2} × (0)^{3} × (3)^{3}

**Simplify, giving Solution with positive index**

(2a^{3})^{4} (4a^{2})^{2}

**Simplify, giving Solution with positive index**

(4x^{2}y^{3})^{3} ÷ (3x^{2}y^{3})^{3}

**Simplify, giving Solution with positive index**

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

**Simplify, giving Solution with positive index**

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

**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))`

**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`

**Simplify and express the Solution in the positive exponent form:**

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

**Simplify and express the Solution in the positive exponent form:**

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

**Simplify and express the Solution in the positive exponent form:**

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

**Simplify and express the Solution in the positive exponent form:**

`- 128/2187`

**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)`

**Simplify and express the Solution in the positive exponent form:**

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

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

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

Evaluate: 5^{3} × 3^{2} + (17)^{0} × 7^{3}

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

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

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

If m^{2} = -2 and n = 2; find the values of: m + r^{2} – 2mn

If m^{2} = -2 and n = 2; find the values of: m^{n} + n^{m}

If m^{2} = -2 and n = 2; find the values of: 6m^{-3} + 4n^{2}

If m^{2} = -2 and n = 2; find the values of: 2n^{3} – 3m

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

## 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.

Get the free view of chapter 5 Exponents (Including Laws of Exponents) Class 7 extra questions for Concise Mathematics Class 7 ICSE and can use Shaalaa.com to keep it handy for your exam preparation