Mathematics · Class 8
Exponents and Powers
Negative exponents, decimal system, and very large-small numbers.
4 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Class 8 exponents include negative and fractional exponents in introduction, laws for integral exponents, and very large/small numbers in standard scientific notation.
Laws Review
Product
aᵐ × aⁿ = aᵐ⁺ⁿ
Quotient
aᵐ / aⁿ = aᵐ⁻ⁿ
Power of product
(ab)ⁿ = aⁿbⁿ
Negative Exponents
- a⁻ⁿ = 1/aⁿ
- (a/b)⁻ⁿ = (b/a)ⁿ
Standard Form
Express 0.000000052 as 5.2 × 10⁻⁸. Used in physics and astronomy.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Simplify
Simplify (2³)² × 2⁻4.
- 12⁶ × 2⁻⁴
- 2= 2²
Answer
4
Example 2: Standard Form
Write 0.00056 in standard form.
- 15.6 × 10⁻⁴
Answer
5.6 × 10⁻⁴
Key Points to Remember
- ✓ Same base required to combine exponents
- ✓ 10ⁿ shifts decimal n places
- ✓ a⁰ = 1 for a ≠ 0
Exam Tips
- • Write numbers in standard form for clarity
- • Apply laws step by step
Practice MCQs — Exponents and Powers
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
(3²)³ equals: