Powers, rules

Summary

Bases: $a,b∈R$ and exponents: $n,m∈Z$ (assuming all powers are valid):

• $a^n⋅a^m=a^{n+m}$
• $\frac{a^n}{a^m}=a^{n-m}$
• ${\left( a^n \right)}^m=a^{nm}$
• ${\left( ab \right)}^n=a^n⋅b^n$
• ${\left( a/b \right)}^n=a^n/b^n$
• No nice formula for $a^n⋅b^m$ or ${\left( a+b \right)}^n$