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奧數 (only 一題）做好心 help me

Jan 2nd 2015, 12:19

原式
=[(2×3×7)^1998]×3×(7^2)
=(42^1998)×3×(7^2)
=(42^1998)×147

42^1個位數為2
42^2個位數為4
42^3個位數為8
42^4個位數為6，
42^5個位數為2
42^6個位數為4......個位數依次方呈現(2,4,8,6)循環
→1998÷4=499...2
→42^1998個位數為4
→原式乘積之個位數為8

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