Integer Exponent
\(2^3 = 2 \times 2 \times 2 = 8\)
指数計算機
正、負、分数の累乗を含む任意の底と指数で指数値を計算
結果
値を入力して計算をクリックして結果を表示してください。
Theory & Formula
Exponentiation is a mathematical operation involving two numbers: the base (a) and the exponent (n).
Exponent rules and properties:
- Positive integer: an = a × a × ... × a (n times)
- Zero exponent: a0 = 1 (where a ≠ 0)
- Negative exponent: a-n = 1 / an
- Fractional exponent: a1/n = n√a (nth root of a)
- Product rule: am × an = am+n
- Power rule: (am)n = amn
\(y = a^n\)
Worked Examples
Negative Exponent
\(2^{-3} = \frac{1}{2^3} = \frac{1}{8} = 0.125\)
Fractional Exponent
\(16^{1/2} = \sqrt{16} = 4\)