I'm kind of stuck with the following assignment:
Prove: If $m \equiv n \pmod{A}$, then $s^m \equiv s^n \pmod{A}$
I tried $m = k_1 \times A + r$ , and $n = k_2 \times A + r$ , then $s^m = s^{k_1 \times A + r}$, but not sure how to proceed ...
Really appreciate any hints. Thanks a lot.