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Question

CMR 2013^2013+2017^2017 chia hết cho 10

le bao truc · Accepted Answer

Ta có$2017^{2017}=\left(2017^{2016}\right).2017=\left(...1\right).2017=\left(...7\right)$$2013^{2013}=\left(2013^{2012}\right).2013=\left(...1\right).2013=\left(...3\right)$$\Rightarrow2013^{2013}+2017^{2017}=\left(...3\right)+\left(...7\right)=\left(...0\right)⋮10$Câu trả lời: Ta có$2017^{2017}=\left(2017^{2016}\right).2017=\left(...1\right).2017=\left(...7\right)$$2013^{2013}=\left(2013^{2012}\right).2013=\left(...1\right).2013=\left(...3\right)$$\Rightarrow2013^{2013}+2017^{2017}=\left(...3\right)+\left(...7\right)=\left(...0\right)⋮10$

Nguyễn Xuân Sáng · Answer

$2013^{2013}+2017^{2017}$Ta có:$2013^{2013}=\left(2013^{2012}\right).2013=\overline{...1}.2013=\overline{...3}$$2017^{2017}=\left(2017^{2016}\right).2017=\overline{...1}.2017=\overline{...3}$$\Rightarrow2013^{2013}+2017^{2017}=\overline{...3}+\overline{...7}=\overline{...0}⋮10$$\Rightarrow2013^{2013}+2017^{2017}⋮10$Câu trả lời: $2013^{2013}+2017^{2017}$Ta có:$2013^{2013}=\left(2013^{2012}\right).2013=\overline{...1}.2013=\overline{...3}$$2017^{2017}=\left(2017^{2016}\right).2017=\overline{...1}.2017=\overline{...3}$$\Rightarrow2013^{2013}+2017^{2017}=\overline{...3}+\overline{...7}=\overline{...0}⋮10$$\Rightarrow2013^{2013}+2017^{2017}⋮10$

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