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58问答库 > 2^1000*(3⼀2)^1000的积的个位数是?

2^1000*(3⼀2)^1000的积的个位数是?

请写出详细方法,谢谢

2025-04-10 00:39:34

推荐回答（1个）

回答（1）：

首先，2^1000*(3/2)^1000约分后就是3^1000. 也就是求3^1000的个位数. 3^1=3……个位数是3 3^2=9……个位数是9 3^3=27……个位数是7 3^4=81……个位数是1 3^5=243……个位数是3 可见，每多一个4次方，就相当于重复一次。 3^1000=(3^4)^250，所以根据每4次方重复一次个位数字。那么3^1000个位数是1 则2^1000*(3/2)^1000的积的个位数是1
满意请采纳

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