What are the single digits of the 999 power of 999 and the 2007 power of 2007
9×9=81
1×9=9
For the n-th power of 999, starting from the 1-th power of 9, the single digit is cycled by 9,1,9,1. That is, when n is odd, the single digit is 9, and when n is even, the single digit is 1.999, the 999 th power and the single digit is 9
7×7=49
9×7=63
3×7=21
1×7=7
For the nth power of 2007, starting from the 1st power of 2007, the single digits are cycled by 7,9,3,1, once every 4 cycles
2007 / 4 = 401 + 32007, the number of the power of 2007 is 3