# Algebra - Powers

Bases (Posotove real numbers):a,b
Powers (rational numbers):n,m

1. $a^ma^n=n^{m+n}$
2. ${a^m\over a^n}=a^{m-n}$
3. $(ab)^m=a^mb^m$
4. $({a \over b })^m={a^m \over b^m}$
5. $(a^m)^n=a^{mn}$
6. $a^0=1,a \neq0$
7. $a^1=1$
8. $a^{-m}={a \over a^m}$
9. $a^{m \over n} = \sqrt[n]{a^m}$