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HKIMO 2018 Grade 4 National Final (Heat) Set 03 Question 12

HKIMO · HKIMO 2018 Grade 4 National Final (Heat) Set 03

Question 12

Find the units digit of A, where

$A=\underbrace{2\times2\times\cdots\times2}_{50}\times\underbrace{3\times3\times\cdots\times3}_{50}\times\underbrace{4\times4\times\cdots\times4}_{50}$.

Each brace marks 50 copies of its factor.