COMPETITIVE ENGLISH

Class 8 – Mathematics Worksheet

Chapter: Exponents and Radicals

A. Source Based Questions

Source: Laws of Exponents a^m × aⁿ = a^m+n

1. Using the above law, find the value of 2³ × 2⁴

2⁷ 2¹² 2⁷ = 128 64

B. Case Based Questions

Ravi is simplifying expressions involving powers.

2. Ravi simplifies 5⁶ ÷ 5² as:

5⁸ 5⁴ 25 125

3. Which law is applied?

aᵐ ÷ aⁿ = aᵐ⁻ⁿ aᵐ × aⁿ (aᵐ)ⁿ a⁰ = 1

C. Assertion – Reason

4. Assertion (A): 9^1/2 = 3
Reason (R): Square root of a number is the number whose square equals the given number.

Both A and R are true and R explains A Both A and R are true but R does not explain A A true, R false A false, R true

D. True / False

5. (2³)² = 2⁵ --Select-- True False

6. √49 = 7 --Select-- True False

E. Match the Following

Column A	Column B
1. 10⁰	a. 1
2. √64	b. 8
3. 3²	c. 9

Correct Matching: 1–a, 2–b, 3–c

Prepared for Class 8 | Exponents & Radicals | Professional Worksheet