GRE

简答题 What is AC?


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A.The best way to approach this problem is to look for a pattern in the first few powers of 3.The first several powers of 3 are 31=3,32=9,33=27.34=81.and 35=243.The next power 36 will end in a 9(the result of multiplying the last 3 by 3).The next power will end in a 7,resulting from the multiplication of the last 9 and the 3.The pattern of the last digits is thus 3,9,7,1,3,9,7,1,and so on,repeating every four powers.The number l08 is a multiple of 4,and thus 3108 will end in 1,just as with every fourth power of 3(34,38,etc.).