Which one is greater between the units digit of 7123 and the units digit of 3321?

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问题 Which one is greater between the units digit of 7¹²³ and the units digit of 3³²¹?

选项 A、Quantity A is greater.
B、Quantity B is greater.
C、The two quantities are equal.
D、The relationship cannot be determined from the information given.

答案C

解析既然尾数每4次循环一次，那么把幂指数除以4，根据余数就可求得尾数大小。7¹²³的幂指数123除以4余3，因而7¹²³的个位和7³个位是一样的；7³的个位为3，因此7¹²³的个位为3；同理：3³²¹幂指数321除以4余1，因此3³²¹的个位和3¹个位是一样的，而3¹的个位为3，因而3³²¹的个位为3，所以7¹²³和3³²¹个位相同。正确答案为C。

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Which one is greater between the units digit of 7123 and the units digit of 3321?

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