Đáp án:
Ta có: `2017^2017= (2017^2016) . 2017=(...............1).2017=(.................7)`
`2013 ^2013 =(2013^2012) . 2013=(................1) .2013=(................3)`
`=> 2013 ^ 2013 + 2017^2017=(................3)+(.......................7)=(.................0)`
Mà.................0 luôn chia hết cho 10 nên:
`2013 ^ 2013 +2017 ^2017` luôn chia hết cho 10
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