![image](https://tex.z-dn.net/?f=1993%5E%7B1991%7D%2A1991%5E%7B993%7D%3E1992%5E%7B3986%7D%5C%5C%0A1993%5E%7B1991%7D%2A1991%5E%7B993%7D%3E%281992%5E%7B1193%7D%29%5E2%5C%5C+++++++%0A%5Cfrac%7B1993%5E%7B1993%7D%7D%7B1993%5E2%7D%2A%5Cfrac%7B1991%5E%7B1993%7D%7D%7B1991%5E%7B1000%7D%7D%3E%281992%5E%7B1993%7D%29%5E2%5C%5C%0A%5Cfrac%7B%281993%2A1991%29%5E%7B1993%7D%7D%7B1993%5E%7B2%7D%2A1991%5E%7B1000%7D%7D%3E%281992%5E%7B1993%7D%29%5E2%5C%5C+%0A1993%5E2%2A1991%5E%7B1000%7D%3E%5Cfrac%7B%281993%2A1991%29%5E%7B1993%7D%7D%7B%281992%5E%7B1993%7D%29%5E2%7D%5C%5C%0A)
1992^{3986}\\
1993^{1991}*1991^{993}>(1992^{1193})^2\\
\frac{1993^{1993}}{1993^2}*\frac{1991^{1993}}{1991^{1000}}>(1992^{1993})^2\\
\frac{(1993*1991)^{1993}}{1993^{2}*1991^{1000}}>(1992^{1993})^2\\
1993^2*1991^{1000}>\frac{(1993*1991)^{1993}}{(1992^{1993})^2}\\
" alt="1993^{1991}*1991^{993}>1992^{3986}\\
1993^{1991}*1991^{993}>(1992^{1193})^2\\
\frac{1993^{1993}}{1993^2}*\frac{1991^{1993}}{1991^{1000}}>(1992^{1993})^2\\
\frac{(1993*1991)^{1993}}{1993^{2}*1991^{1000}}>(1992^{1993})^2\\
1993^2*1991^{1000}>\frac{(1993*1991)^{1993}}{(1992^{1993})^2}\\
" align="absmiddle" class="latex-formula">
то есть верно