Important Questions on Exponents and Powers for Class 8

Important Questions on Exponents and Powers for Class 8 are available in this Maths article. Important Questions on Exponents and Powers for Class 8 are very useful to solve the problems easily. This article helps the students to know the key questions and answers about Exponents and Powers. Exponents and powers show how to write repeated multiplication of a number in a short form which we use in our day to day calculations.

Our subject experts have provided detailed solutions for these problems based on the old CBSE syllabus and the NCERT textbook. This material helps students revise the chapter easily and perform well in the final examination.

Table of Contents

• Exponents and Powers
• Important Laws of Exponents
• Exponents and Powers Solved Problems for Class 8
• Practice Questions on Exponents and Powers for Class 8

Exponents and Powers

Exponents and powers are important concepts in Class 8 mathematics. They help students write repeated multiplication in a shorter and simpler form. Exponents are widely used in algebra, geometry, science, computer calculations, and higher mathematics.

When a number is multiplied by itself repeatedly, the compact form is called exponential form.

Example:

2 × 2 × 2 × 2 = 2⁴

Here:

• 2 is the base
• 4 is the exponent or power

Important Laws of Exponents

1. Product Law

a^m × aⁿ = a^m+n

Example:

3² × 3⁴ = 3⁶

2. Quotient Law

a^m ÷ aⁿ = a^m-n

Example:

5⁷ ÷ 5² = 5⁵

3. Power of a Power

(a^m)ⁿ = a^mn

Example:

(2³)² = 2⁶

4. Zero Exponent Rule

a⁰ = 1

Example:

8⁰ = 1

5. Negative Exponent Rule

a^-m = 1 / a^m

Example:

2^-3 = 1 / 8

Exponents and Powers Solved Problems for Class 8

1: Write 6 × 6 × 6 in exponential form.

Answer: 6 × 6 × 6 = 6³

2: Find the value of 4³.

Answer: 4³ = 4 × 4 × 4 = 64

3: Simplify 2⁴ × 2³.

Answer: 2⁴ × 2³ = 2⁷ = 128

4: Simplify 5⁶ ÷ 5².

Answer: 5⁶ ÷ 5² = 5⁴ = 625

5: Find the value of (3²)³.

Answer: (3²)³ = 3⁶ = 729

6: Find the value of 10⁰.

Answer: 10⁰ = 1

7: Simplify 7² × 7.

Answer: 7² × 7¹ = 7³ = 343

8: Find the value of 2^-4.

Answer: 2^-4 = 1 / 2⁴ = 1 / 16

9: Simplify (5 × 2)².

Answer: (5 × 2)² = 10² = 100

10: Simplify 9³ ÷ 9.

Answer: 9³ ÷ 9¹ = 9² = 81

Practice Questions on Exponents and Powers for Class 8

1. Write 8 × 8 × 8 × 8 in exponential form.
2. Find the value of 3⁵.
3. Simplify 4² × 4⁵.
4. Simplify 6⁷ ÷ 6³.
5. Find the value of (2⁴)².
6. Find the value of 15⁰.
7. Simplify 5³ × 5².
8. Find the value of 3^-2.
9. Simplify (4 × 3)².
10. Simplify 8⁵ ÷ 8².