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'Like Powers' printed from https://nrich.maths.org/
Investigate
$$ 1^n + 19^n + 20^n + 51^n + 57^n + 80^n + 82^n$$
and
$$ 2^n + 12^n + 31^n + 40^n + 69^n + 71^n + 85^n$$
for different values of $n$.