\(57^{1999}=57^{1996}\cdot57^3\)
\(=\overline{.....1}\cdot\overline{......3}\)
\(=\overline{.....3}\)
\(93^{1999}=93^{1996}\cdot93^3\)
\(=\overline{.....1}\cdot\overline{....7}\)
\(=\overline{....7}\)
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