题目

Why is it that many people who have suffered a major shock, such as divorce or death of a family member, seem to be weaker against a variety of major and minor illness? One common idea among psychologists has been that people could deal with suffering more effectively if they were able to understand and accept it. Indeed, many experts stress the value of expressing thoughts and feelings connected with upsetting events.Recently, a team of medical researchers studied the links between describing psychologically painful events and long-term health. In one experiment healthy college students were 10.20022016的末位数字是多少?为了解决这个问题,不妨从特殊数的幂的个位数字中发现规律:21=2,22=4,23=8,24=16,25=24+1=32,26=24+2=64,27=24+3=128,28=24+4=258.24k+1个位数字为2,24k+2个位数字为4,24k+3个位数字为8,24(k+1)个位数字为6.从上述数据中发现,底数为2,指数分别为(4k+1),(4k+2),(4k+3),4k+4时,幂的末位数分别为2,4,8,6,又20022016=20024×504=24×504×10014×504,因此它与24的个位数字相同;幂20022016的末位数字是6.你能推出32015个位上的数字是多少?
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