potência

Produto	am×an=am+n${\displaystyle a^m\times a^n=a^{m+n}}$	ex : 35×32=35+2=37${\displaystyle 3^5\times 3^2=3^{5+2}=3^7}$
	am×bm=(a×b)m${\displaystyle a^m\times b^m={(a\times b)}^m}$	ex : 35×25=(3×2)5=65${\displaystyle 3^5\times 2^5={(3\times 2)}^5=6^5}$
Quociente	am÷an=am−n${\displaystyle a^m÷a^n=a^{m-n}}$	ex : 37÷32=37−2=35${\displaystyle 3^7÷3^2=3^{7-2}=3^5}$
	am÷bm=(a÷b)m${\displaystyle a^m÷b^m={(a÷b)}^m}$	ex : 65÷25=(6÷2)5=35${\displaystyle 6^5÷2^5={(6÷2)}^5=3^5}$ ex : 53÷23=(52)3${\displaystyle 5^3÷2^3={\left(\frac{5}{2}\right)}^3}$
Potência de Potência	(am)p=am×p${\displaystyle {\left(a^m\right)}^p=a^{m\times p}}$	ex : (52)3=52×3=56${\displaystyle {\left(5^2\right)}^3=5^{2\times 3}=5^6}$
Expoente Nulo	a0=1${\displaystyle a^0=1}$	ex : 80=1${\displaystyle 8^0=1}$
Expoente Negativo	a−n=(1a)n${\displaystyle a^{-n}={\left(\frac{1}{a}\right)}^n}$	ex : 3−2=(13)2${\displaystyle 3^{-2}={\left(\frac{1}{3}\right)}^2}$ ex : (23)−4=(32)4${\displaystyle {\left(\frac{2}{3}\right)}^{-4}={\left(\frac{3}{2}\right)}^4}$
Expoente Fracionário	apq=ap−−√q${\displaystyle a^{\frac{p}{q}}=\sqrt[q]{a^p}}$	ex : 243=24−−√3