请教一个英语数学题的含义What is the sum of the exponents of the prime factors of the square root of the largest perfectsquare that divides 12!

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请教一个英语数学题的含义What is the sum of the exponents of the prime factors of the square root of the largest perfectsquare that divides 12!
请教一个英语数学题的含义
What is the sum of the exponents of the prime factors of the square root of the largest perfectsquare that divides 12!

请教一个英语数学题的含义What is the sum of the exponents of the prime factors of the square root of the largest perfectsquare that divides 12!
翻译过来是说:能整除12的最大完全平方数的平方根的质因数的幂的总和.
虽然勉强可以翻译,但是实在无法理解答案.
能整除12的最大完全平方数=4
能整除12的最大完全平方数的平方根=√4=2
能整除12的最大完全平方数的平方根的质因数=2
能整除12的最大完全平方数的平方根的质因数的幂=2的幂.
能整除12的最大完全平方数的平方根的质因数的幂的和=2¹+2²+2³+.+2^n
可是这个结果是∞啊!
要么我错了,要么就是答案错了,还有就是答案其实是脑筋急转弯,这儿的8其实就只是∞.

perfectsquare 你打错了吧

的最大的perfectsquare将12的平方根的主要因素的指数的总和是什么!

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