Presentation on Exponents_and_Powers_Class8

Basics concept of exponents and powers

1. Exponents and Powers Class 8 Mathematics

2. What is an Exponent? Exponent shows how many times a number is multiplied by itself. Examples: 2⁴ = 16, 10³ = 1000

3. Laws of Exponents 1. a^m × a^n = a^(m+n) 2. a^m ÷ a^n = a^(m−n) 3. (a^m)^n = a^(mn) Examples: 2³×2²=2⁵=32 (3²)³=3⁶=729

4. Negative and Zero Exponents a⁰ = 1 (a ≠ 0) a⁻ⁿ = 1/aⁿ Example: 2⁻³ = 1/8

5. Standard Form Used for large/small numbers. Form: a × 10ⁿ, 1 ≤ a < 10 Examples: 3,000,000 = 3×10⁶ 0.00042 = 4.2×10⁻⁴

6. Real-Life Applications ⚙ Scientific notation 💻 Data storage 📈 Population growth 💰 Compound interest