Ta có: \(17^{2007}\) = \(17^{4.501}.17\) = \(\left(17^4\right)^{501}.17\) = \(\left(...1\right)^{501}.17\) = \(\left(...1\right).17=...7\)
Ta có : \(19^{21}=19^{2.10}.19=\left(19^2\right)^{10}.19=\left(...1\right)^{10}.19\)
\(=\left(...1\right).19\)\(=\left(...9\right)\)
Ta có: \(13^{1003}=13^{4.250}.13^3\) \(=\left(13^4\right)^{250}.\left(...7\right)\) \(=\left(...1\right)^{250}.\left(..7\right)\)
\(=\left(...1\right).\left(...7\right)\) \(=\left(...7\right)\)
Ta có: \(7^{99}=7^{4.24}.7^3\)\(=\left(7^4\right)^{24}.\left(...3\right)=\left(...1\right)^{24}.\left(...3\right)=\left(...1\right).\left(...3\right)\)\(=\left(...3\right)\)
Ta có: \(14^{14}=14^{2.7}=\left(14^2\right)^7=\left(...6\right)^7=\left(...6\right)\)
Ta có: \(4^{567}=4^{2.283}.4=\left(4^2\right)^{283}.4=\left(...6\right)^{283}.4=\left(...6\right).4=\left(...4\right)\)
