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If x is the product of the positive integers from 1 to 8
接上题inclusive, and if i, k, m, and p are positive integers such that x = 2i3k5m7p, then i + k + m + p =.注意,x等于2的i次方,以此类推.不是2i3k5m7p. 求问这题什么意思怎么解答
人气:123 ℃ 时间:2020-04-05 14:45:21
解答
x =1*2*3*4*5*6*7*8
=2*3*2^2*5*2*3*7*2^3
=2^7*3^2*5*7
(1)=(2)
2^7*3^2*5*7=(2^i)(3^k)(5^m)(7^p)
i=7 k=2 m=1p=1
i+k+m+p=11
能看懂吧,靠GMAT的吧,加油
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