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 \({\left( a+b \right)}^n\)