## If $$243^x\cdot 463^y=n,$$ where $$x$$ and $$y$$ are positive integers, what is the units digit of $$n?$$

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### If $$243^x\cdot 463^y=n,$$ where $$x$$ and $$y$$ are positive integers, what is the units digit of $$n?$$

by Vincen » Wed Sep 15, 2021 9:12 am

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If $$243^x\cdot 463^y=n,$$ where $$x$$ and $$y$$ are positive integers, what is the units digit of $$n?$$

(1) $$x + y = 7$$

(2) $$x = 4$$