速答：常见幂运算结果

指数运算：a^b = a × a × … (b 次)。负指数等于倒数：a^-b = 1 / a^b。分数指数等于开方：a^(1/b) = ⁿ√a。下方为最常用的幂运算结果：

表达式结果常见用途
2^101,0241 KB（千字节）
2^1665,53616 位色深
10^61,000,0001 百万
10^91,000,000,0001 十亿
5^01任何非零数的 0 次幂
(1.05)^101.6295% 年增长 10 年的总倍数
(1.07)^307.6127% 年增长 30 年的总倍数
2^(-1)0.52 的负一次幂（1/2）
√144 (= 144^0.5)12平方根
³√27 (= 27^(1/3))3立方根

参考：NIST DLMF 数学函数手册。

指数计算器

Use this free exponent calculator to calculate any base raised to any power, including negative and fractional exponents.
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How our exponent calculator works

1

Enter the base

Type the number being raised to a power. The base can be any positive or negative number, fraction, or decimal.

2

Enter the exponent

Type the power. Positive exponents multiply the base by itself N times. Negative exponents take the reciprocal. Fractional exponents give roots.

3

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See the result, the math step by step, and the result in scientific notation for very large or very small numbers.

Key things to know about our exponent calculator:

  • Exponent rules: a^m x a^n = a^(m+n). a^m / a^n = a^(m-n). (a^m)^n = a^(m*n). These rules are the foundation of scientific notation and logarithm math.
  • Scientific notation: Numbers are written as a x 10^b where 1 1 to 10le; a 1 to 10lt; 10. Useful for very large (1.5 x 10^23) or very small (6.022 x 10^-23) numbers in science and engineering.
  • Logarithms: The inverse of exponents. log(100) = 2 because 10^2 = 100. Natural log ln(x) uses base e (~2.718). For complex exponent math, use the scientific calculator.

For related calculations, try our scientific calculator.

指数运算（参考资料）

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