n=6
\( 125^7+24^7 = 121^7+94^7+83^7+61^7+57^7+27^7 \)
n=8
\(10^7+33^7 = 5^7+6^7+7^7+15^7+15^7+20^7+28^7+31^7 \)
n=10
\(2^7+27^7 = 4^7+8^7+13^7+14^7+14^7+16^7+18^7+22^7+23^7+23^7 \)
\( = 7^7+7^7+9^7+13^7+14^7+18^7+20^7+22^7+22^7+23^7 \)
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\( 96^7+41^7+17^7 = 87^7+ 77^7+77^7+68^7+56^7 \)
\( 153^7+43^7+14^7 = 140^7+137^7+59^7+42^7+42^7 \)
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