指数计算器公式

## How Exponents Work

### Definition

**b^n = b × b × b × ... (n times)**

### Key Rules

- b^0 = 1 (any nonzero number to the zero power is 1)
- b^1 = b
- b^(-n) = 1/b^n
- b^(m+n) = b^m × b^n
- (b^m)^n = b^(mn)
- b^(1/n) = nth root of b

计算示例

Calculate 2^10.

  1. 2^10 = 2×2×2×2×2×2×2×2×2×2
  2. = 1024
  3. Reciprocal: 2^(-10) = 1/1024 ≈ 0.000977