เอาแบบง่ายๆนะครับ
\[
\begin{array}{rcl}
\because\ 2546 & = & 100111110010_2 = 2048 + 256 + 128 + 64 + 32 + 16 + 2 \\
2^{2546} & = & 2^{2048 + 256 + 128 + 64 + 32 + 16 + 2 } = 2^{2048} \cdot 2^{256} \cdot 2^{128} \cdot 2^{64} \cdot 2^{32} \cdot 2^{16} \cdot 2^2 \\
2^{2} & = & 4 \\
\left(2^2\right)^2 & = & 2^4 = 16 \\
\left(2^4\right)^2 & = & 2^8 = 256 \\
\left(2^8\right)^2 & = & 2^{16} = \ldots 536 \\
\left(2^{16}\right)^2 & = & 2^{32} = \ldots 296 \\
\left(2^{32}\right)^2 & = & 2^{64} = \ldots 616 \\
\left(2^{64}\right)^2 & = & 2^{128} = \ldots 456 \\
\left(2^{128}\right)^2 & = & 2^{256} = \ldots 936 \\
\left(2^{256}\right)^2 & = & 2^{512} = \ldots 096 \\
\left(2^{512}\right)^2 & = & 2^{1024} = \ldots 216 \\
\left(2^{1024}\right)^2 & = & 2^{2048} = \ldots 656 \\
\therefore\ 2^{2546} & = & (\ldots 656) \cdot (\ldots 936) \cdot (\ldots 456) \cdot (\ldots 616) \cdot (\ldots 296) \cdot (\ldots 536) \cdot 4 \\
& = & \ldots 664
\end{array}
\]