GWD 4-4

[piglet]

Q4:

If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2i3k5m7p, then i + k + m + p =

答案是D 11

請問一下這要怎麼做呢?
謝謝

[zazer.lin]

piglet大大...您的題目好像看錯了喔!

正確題目應該是:
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2[sup]i[/sup]3[sup]k[/sup]5[sup]m[/sup]7[sup]p[/sup], then i + k + m + p = ?

<sol>:
1*2*3*4*5*6*7*8
= 2*3*(2[sup]2[/sup])*5*(2*3)*7*(2[sup]3[/sup])
= 2[sup]7[/sup]*3[sup]2[/sup]*5*7
Therefore, i + k + m + p = 7 + 2 + 1 + 1 = 11

[piglet]

XDDD 真感謝你
真蠢 難怪算不出來
謝謝!!

[chris8888]

網路表示中就有缺陷

1. If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2^i*3^k*5^m*7^p, then i + k + m + p =

答案是D 11