Exponent Rules
| Rule | Formula | Example |
|---|---|---|
| Product rule | bᵐ × bⁿ = bᵐ⁺ⁿ | 2³ × 2² = 2⁵ = 32 |
| Quotient rule | bᵐ ÷ bⁿ = bᵐ⁻ⁿ | 3⁵ ÷ 3² = 3³ = 27 |
| Power of power | (bᵐ)ⁿ = bᵐⁿ | (2³)² = 2⁶ = 64 |
| Negative exponent | b⁻ⁿ = 1/bⁿ | 2⁻³ = 1/8 = 0.125 |
| Zero exponent | b⁰ = 1 | 99⁰ = 1 |
What is 0⁰?
0⁰ is mathematically indeterminate, though in many practical contexts (combinatorics, polynomials) it is defined as 1. This calculator returns 1 for 0⁰ by convention.
Can the exponent be a fraction?
Yes. A fractional exponent b^(p/q) is equivalent to the q-th root of b raised to the p-th power: (∛b)^p.