DSE 數學公式 (Maths Formula): Laws of integral indices formula 整數指數律公式公式

Laws of integral indices formula 整數指數律公式

Given a, b ≠ 0

已知 a, b ≠ 0

1. a^m \times a^n = a^{m+n}
2. \frac{a^m}{a^n} = a^{m-n}
3. \left(a^m\right)^n = a^{mn}
4. \left(ab\right)^m = a^m\times b^m
5. \left(\frac{a}{b}\right)^m = \frac{a^m}{b^m}
6. a^{-m} = \frac{1}{a^m}
7. a^0 = 1
8. a^\frac{1}{m} = \sqrt[m]{a} , \text{(n is positive integer 其中m 為正整數)}