1# random methods shit
23
## Index laws
45
$a^m \times a^n = a^{m+n}$
6$a^m \div a^n = a^{m-n}4$
7$(a^m)^n = a^{_mn}$
8$(ab)^m = a^m b^m$
9${({a \over b})}^m = {a^m \over b^m}$
1011
## Fractional indices
1213
$^n\sqrt{x}=x^{1/n}$
1415
## Logarithms
1617
$$\log_b (x) = n \quad \operatorname{where} \hspace{0.5em} b^n=x$$