Math
Exponent rules.
Definition
Exponent rules are properties that simplify expressions involving powers. They include rules for multiplying, dividing, and raising powers to powers, as well as handling zero and negative exponents.
Examples
Real-world.
- 1 x³ · x⁴ = x⁷ (product rule)
- 2 (2³)² = 2⁶ = 64 (power rule)
- 3 5⁰ = 1 and x⁻² = 1/x² (zero and negative exponent rules)
Key Fact
xᵃ · xᵇ = xᵃ⁺ᵇ; xᵃ/xᵇ = xᵃ⁻ᵇ; (xᵃ)ᵇ = xᵃᵇ; x⁰ = 1; x⁻ⁿ = 1/xⁿ