#### Chapters

Chapter 2: Fractions and Decimals

Chapter 3: Data Handling

Chapter 4: Simple Equations

Chapter 5: Lines and Angles

Chapter 6: The Triangle and its Properties

Chapter 7: Congruence of Triangles

Chapter 8: Comparing Quantities

Chapter 9: Rational Numbers

Chapter 10: Practical Geometry

Chapter 11: Perimeter and Area

Chapter 12: Algebraic Expressions

Chapter 13: Exponents and Powers

Chapter 14: Symmetry

Chapter 15: Visualising Solid Shapes

## Chapter 13: Exponents and Powers

#### NCERT solutions for Class 7 Mathematics Textbook Chapter 13 Exponents and Powers Exercise 13.1 [Pages 252 - 253]

Find the value of:2^{6}

Find the value of:9^{3}

Find the value of: 11^{2}

Find the value of: 5^{4}

Express the given in exponential form:

6 × 6 × 6 × 6

Express the given in exponential form:

t × t

Express the given in exponential form:

b × b × b × b

Express the given in exponential form:

5 × 5 × 7 ×7 × 7

Express the given in exponential form:

2 × 2 × a × a

Express the given in exponential form:

a × a × a × c × c × c × c × d

Express the numbers using exponential notation:

512

Express the numbers using exponential notation:

343

Express the numbers using exponential notation:

729

Express the numbers using exponential notation:

3125

Identify the greater number, wherever possible, in the following?

4^{3} or 3^{4}

Identify the greater number, wherever possible, in the following?

5^{3} or 3^{5}

Identify the greater number, wherever possible, in the following?

2^{8} or 8^{2}

Identify the greater number, wherever possible, in the following?

100^{2 }or 2^{100}

Identify the greater number, wherever possible, in the following?

2^{10} or 10^{2}

Express the following as product of powers of their prime factors:

648

Express the following as product of powers of their prime factors:

405

Express the following as product of powers of their prime factors:

540

Express the following as product of powers of their prime factors:

3,600

Simplify : 2 × 10^{3}

Simplify: 7^{2} × 2^{2}

Simplify: 2^{3} × 5

Simplify : 3^{ }× 4^{4}

Simplify: 0 × 10^{2 }_{}

Simplify: 5^{2} × 3^{3}

Simplify:2^{4 }× 3^{2}

Simplify: 3^{2} × 10^{4}

Simplify: (− 4)^{3}

Simplify: (− 3) × (− 2)^{3}

Simplify: (− 3)^{2} × (− 5)^{2}

Simplify: (− 2)^{3} × (−10)^{3}

Compare the Given numbers:

2.7 × 10^{12}; 1.5 × 10^{8}

Compare the Given numbers:

4 × 10^{14}; 3 × 10^{17}

#### NCERT solutions for Class 7 Mathematics Textbook Chapter 13 Exponents and Powers Exercise 13.2 [Pages 260 - 261]

Using laws of exponents, simplify and write the answer in exponential form

3^{2} × 3^{4} × 3^{8}

Using laws of exponents, simplify and write the answer in exponential form

6^{15} ÷ 6^{10}

Using laws of exponents, simplify and write the answer in exponential form

a^{3} × a^{2}

Using laws of exponents, simplify and write the answer in exponential form

7^{x}× 7^{2}

Using laws of exponents, simplify and write the answer in exponential form

`(5^2)^3 ÷ 5^3`

Using laws of exponents, simplify and write the answer in exponential form

2^{5} × 5^{5}

Using laws of exponents, simplify and write the answer in exponential form

a^{4} × b^{4}

Using laws of exponents, simplify and write the answer in exponential form

(3^{4})^{3}

Using laws of exponents, simplify and write the answer in exponential form:

`(2^20 ÷ 2^15) xx 2^3`

Using laws of exponents, simplify and write the answer in exponential form:

8^{t} ÷ 8^{2}

Simplify and express the following in exponential form:

`(2^3 xx 3^4 xx 4)/(3 xx 32)`

Simplify and express the following in exponential form:

((5^{2} )^{3} × 54 )÷ 5^{7}

Simplify and express the following in exponential form:

25^{4} ÷5^{3}

Simplify and express the following in exponential form:

`(3 xx 7^2 xx 11^8)/(21 xx 11^3)`

Simplify and express the following in exponential form:

`3^7/(3^4 xx 3^3)`

Simplify and express the following in exponential form:

2^{0} + 3^{0} + 4^{0}

Simplify and express the following in exponential form:

2^{0} × 3^{0} × 4^{0}

Simplify and express the following in exponential form:

(3^{0} + 2^{0}) × 5^{0}

Simplify and express the following in exponential form:

`(2^8 xxa^5)/(4^3 xx a^3)`

Simplify and express the following in exponential form

`(a^5/a^3) xx a^8`

Simplify and express the following in exponential form

`(4^5 xx a^8b^3)/(4^5 xx a^5b^2)`

Simplify and express the following in exponential form:

`(2^3 xx 2)^2`

Say true or false and justify your answer:

10 × 10^{11} = 100^{11}

Say true or false and justify your answer:

2^{3} > 5^{2}

Say true or false and justify your answer:

2^{3} × 3^{2} = 6^{5}

Say true or false and justify your answer:

3^{0} = (1000)^{0}

Express the following as a product of prime factors only in exponential form:

108 × 192

Express the following as a product of prime factors only in exponential form:

270

Express the following as a product of prime factors only in exponential form:

729 × 64

Express the following as a product of prime factors only in exponential form:

768

Simplify: `((2^5)^2 xx 7^3)/(8^3 xx 7)`

Simplify: `(25 xx 5^2 xx t^8)/(10^3 xx t^4)`

Simplify: `(3^5 xx 10^5 xx 25)/(5^7 xx 6^5)`

#### NCERT solutions for Class 7 Mathematics Textbook Chapter 13 Exponents and Powers Exercise 13.2, 13.3 [Page 263]

Write the following numbers in the expanded forms:

279404, 3006194, 2806196, 120719, 20068

Find the number from the following expanded forms:

8 × 10^{4} + 6 × 10^{3} + 0 × 10^{2} + 4 × 10^{1} + 5 × 10^{0}

Find the number from the following expanded forms:

4 × 10^{5 }+ 5 × 10^{3 }+ 3 × 10^{2 }+ 2 × 10^{0}

Find the number from the following expanded forms:

3 × 10^{4} + 7 × 10^{2} + 5 × 10^{0}

Find the number from the following expanded forms:

9 × 10^{5} + 2 × 10^{2} + 3 × 10^{1}

Express the given numbers in standard form:

5, 00, 00, 000

Express the given numbers in standard form:

70, 00, 000

Express the given numbers in standard form:

3, 18, 65, 00, 000

Express the given numbers in standard form:

3, 90, 878

Express the given numbers in standard form:

39087.8

Express the given numbers in standard form:

3908.78

Express the number appearing in the given statements in standard form

The distance between Earth and Moon is 384, 000, 000 m.

Express the number appearing in the given statements in standard form

Speed of light in vacuum is 300, 000, 000 m/s.

Express the number appearing in the given statements in standard form

Diameter of the Earth is 1, 27, 56, 000 m.

Express the number appearing in the given statements in standard form

Diameter of the Sun is 1, 400, 000, 000 m.

Express the number appearing in the given statements in standard form

In a galaxy there are on an average 100, 000, 000, 000 stars.

Express the number appearing in the given statements in standard form

The universe is estimated to be about 12, 000, 000, 000 years old.

Express the number appearing in the given statements in standard form

The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300, 000, 000, 000, 000, 000, 000 m.

Express the number appearing in the given statements in standard form

60, 230, 000, 000, 000, 000, 000, 000 molecules are contained in a drop of water weighing 1.8 gm.

Express the number appearing in the given statements in standard form

The earth has 1, 353, 000, 000 cubic km of sea water.

Express the number appearing in the given statements in standard form

The population of India was about 1, 027, 000, 000 in March, 2001

## Chapter 13: Exponents and Powers

## NCERT solutions for Class 7 Mathematics Textbook chapter 13 - Exponents and Powers

NCERT solutions for Class 7 Mathematics Textbook chapter 13 (Exponents and Powers) 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 CBSE Class 7 Mathematics Textbook 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. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 7 Mathematics Textbook chapter 13 Exponents and Powers are Concept of Exponents, Multiplying Powers with the Same Base, Dividing Powers with the Same Base, Taking Power of a Power, Multiplying Powers with the Same Exponents, Dividing Powers with the Same Exponents, Miscellaneous Examples Using the Laws of Exponents, Decimal Number System, Expressing Large Numbers in the Standard Form.

Using NCERT Class 7 solutions Exponents and Powers 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 NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 7 prefer NCERT Textbook Solutions to score more in exam.

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