Question 56
Decipher the equality
$$
(\overline{V E R}-\overline{I A}):(\overline{G R E}+\overline{E C E})=G^{R^{E}}
$$
assuming that the number $\overline{G R E E C E}$ has a maximum value. It is supposed that each letter corresponds to a unique digit from 0 to 9 and different letters correspond to different digits, and also that all letters $G, E, V$ and $I$ are different from 0. Also, the notation $\overline{a_{n} \ldots a_{1} a_{0}}$ stands for the number $a_{n} \cdot 10^{n}+\cdots+10^{1} \cdot a_{1}+a_{0}$.
$$
(\overline{V E R}-\overline{I A}):(\overline{G R E}+\overline{E C E})=G^{R^{E}}
$$
assuming that the number $\overline{G R E E C E}$ has a maximum value. It is supposed that each letter corresponds to a unique digit from 0 to 9 and different letters correspond to different digits, and also that all letters $G, E, V$ and $I$ are different from 0. Also, the notation $\overline{a_{n} \ldots a_{1} a_{0}}$ stands for the number $a_{n} \cdot 10^{n}+\cdots+10^{1} \cdot a_{1}+a_{0}$.