We want to repeatedly multiply.
\[ e_m(0) = 1 \quad \text{ and } \quad e_m(\ssuc{n}) = \ssuc{(e_m(n))} \cdot m \]
for every natural number $n$.Let $m$ and $n$ be natural numbers. The value $p_m(n)$ is the power of $m$ with $n$. Or the $n$th power of $m$
We denote the $n$th power of $m$ by $m^n$.
Here are some basic properties of powers.
\[ m^{n}m^{k} = m^{k + k}. \]
\[ (m^{n})^k = m^{nk}. \]