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