Class 7 Mathematics

Chapter 13: Exponents and Powers

NCERT Textbook Questions & Answers

Question 1

Write the following in exponential form:
(a) 2 × 2 × 2 × 2
(b) 5 × 5 × 5

Answer:

(a)

2 is multiplied 4 times.
So, 2 × 2 × 2 × 2 = 2⁴

(b)

5 is multiplied 3 times.
So, 5 × 5 × 5 = 5³

✅ Final Answer: (a) 2⁴    (b) 5³

Question 2

Evaluate:
(a) 3⁴
(b) 10²

Answer:

(a)

3⁴ = 3 × 3 × 3 × 3 = 81

(b)

10² = 10 × 10 = 100

✅ Final Answer: (a) 81    (b) 100

Question 3

Simplify:
2³ × 2⁴

Answer:

Step 1: Use the law: a^m × aⁿ = a^m+n

2³ × 2⁴ = 2³⁺⁴ = 2⁷

2⁷ = 128

✅ Final Answer: 128

Question 4

Simplify:
5⁶ ÷ 5²

Answer:

Step 1: Use the law: a^m ÷ aⁿ = a^m−n

5⁶ ÷ 5² = 5⁶⁻² = 5⁴

5⁴ = 625

✅ Final Answer: 625

Question 5

Find the value of:
(a) 7⁰
(b) 9¹

Answer:

(a)

Any number raised to the power 0 is 1.
So, 7⁰ = 1

(b)

Any number raised to the power 1 is the number itself.
So, 9¹ = 9

✅ Final Answer: (a) 1    (b) 9

Question 6

Express the following using powers of 10:
1,000

Answer:

1,000 = 10 × 10 × 10

So, 1,000 = 10³

✅ Final Answer: 10³

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Shaktimatha CBSE Learning
Class 7 Mathematics – Chapter 13
NCERT Textbook Questions & Answers

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