[tex]In~exemplul~tau,puterea~se~va~descompune:\\
100|2\\
50|2\\
25|5\\
5|5\\
1\\\\
313^1^0^0=\ \textgreater \ (313^4)^2^5\\\\
Un~alt~exemplu:\\
313^1^0^0:313^9^9=\ \textgreater \ 313^1^0^0^-^9^9=\ \textgreater \ 313^1=\ \textgreater \ 313\\
Sau:\\
313^5*313^1^0^0=\ \textgreater \ 313^1^0^0^+^5=\ \textgreater \ 313^1^0^5\\
Vedem~daca~105~se~poate~descompune...\\
105|5\\
21|3\\
7|7\\
1\\\\
=\ \textgreater \ [(313^3)^7]^5~si~daca~vrem~calculam~daca~nu,lasam~asa\\
deoarece~ne~va~da~un~nr~foarte~foarte~mare.[/tex]
