近年在所见到的数学竞赛题和数学问题中,经常出现要求确定自然数的高次幂m~n的个位数的问题。由于所论问题仅局限于讨论个位数,又1、2、……、9的n次幂的个位数存在着以4为周期的规律。因此这类问题可认为已被彻底解决了。如将问题开拓一下,要求确定m~n未尾的更多位的数,自然讨论将更复杂。但是否也存在着一些确定 In recent years, in the math contest questions and mathematical problems seen, the problem of determining the number of single digits of the high-order power m~n of the natural number often appears. Since the problem is confined to the discussion of single digits, the 1, 4,..., 9 n-th powers have the law of 4 cycles. Therefore, this type of problem can be considered completely resolved. If the problem is explored, and the number of more bits that do not end in m~n is determined, the natural discussion will be more complicated. But is there some certainty