[tex]
2^n\times5^3\times7\\\\
\text{Numarul de zerouri de la sfarsitul unui produs }\\
\text{este egal numarul de 10-uri care au participat la produs.}\\\\
10 = 2 \times 5\\\\
\Longrightarrow\text{Trebuie sa aflam cati de 2 si cati de 5 pot fi in produs.}\\\\
5^3=5\times5\times5~~(\text{Avem 3 de 5})\\\\
2^n=?\\
n\in N\\
n=0\to(\text{0 de 2})\\
n=1\to(\text{1 de 2})\\
n=2\to(\text{2 de 2})\\
n=3\to(\text{3 de 2})\\
n\ \textgreater \ 3\to (\text{mai mult de 3 de 2})[/tex]
[tex]\Longrightarrow~~\text{In expresia: } \\ 2^n\times5^3\times7 \\ \text{putem avea 0 sau 1 sau 2 sau 3 sau mai multi doiuri si 3 cinciuri.} \\ \\
\Longrightarrow~~ \boxed{2^n\times5^3\times7~~ \text{ se termina in maxim 3 zerouri si minim 0 zerouri.}}[/tex]
