[[$ a^n = a \cdot a \cdot ... \cdot a $]]​	n factors, a = base number, n = exponent
[[$ a^0 = 1 $]]​	[[$ a \neq 0$]], [[$0^0 $]]​ not defined
[[$ a^{-p} = \dfrac{1}{a^p} $]]	[[$ a \neq 0 $]]
[[$ \left( \dfrac{a}{b} \right)^{-p} = \left( \dfrac{b}{a}\right)^{p} $]]	[[$ a \neq 0 $]]

Calculation rules

[[$ a^ma^n = a^{m+n} $]]	product of powers with the same base number
[[$ \dfrac{a^m}{a^n} = a^{m-n} $]]	quotient of powers with the same base number
[[$ (ab)^n = a^nb^n $]]	power of products
[[$ \left(\dfrac{a}{b}\right)^n = \dfrac{a^n}{b^n}$]]	power of a quotient
[[$ (a^m)^n = a^{mn} = (a^n)^m $]]	power of a power