Integer Exponent
\(2^3 = 2 \times 2 \times 2 = 8\)
指数関数計算機
指数関数を計算し、指数方程式を解く
結果
値を入力して、計算をクリックすると結果が表示されます。
理論と公式
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
\(y = a^n\)
解説付き例題
Negative Exponent
\(2^{-3} = \frac{1}{2^3} = \frac{1}{8} = 0.125\)
Fractional Exponent
\(16^{1/2} = \sqrt{16} = 4\)