Indices & Logarithms

Laws of indices

$$a^m a^n = a^{m+n}, \quad \frac{a^m}{a^n}=a^{m-n}, \quad (a^m)^n = a^{mn}, \quad a^0=1, \quad a^{-n}=\frac{1}{a^n}, \quad a^{1/n}=\sqrt[n]{a}$$