一道数学题

gpc7109 · 发表于 2012-7-8 14:04:37

if a,m and n are positive integers, is n^2a a multiple of m^a?
1) n is a multiple of m/2
2)n is a multiple of am

would you please further help me on this ?!

gpc7109 · 发表于 2012-7-8 14:05:58

一道数学题

if a,m and n are positive integers, is n^2a a multiple of m^a?
1) n is a multiple of m/2
2)n is a multiple of 2m

would you please further help me on this ?!

silcdedicate · 发表于 2012-7-8 18:39:48

n^2a /m^a =(n^2/m)^a
1. n=m/2 x k （k为正整数）代入上式得 (mk^2 /4)^a, m/4 不能确定是整数，1不sufficient
2. n=2mk(k为正整数）带入得（4mk^2)^a ，4mk^2 是整数，所以2 sufficient
选b

gpc7109 · 发表于 2012-7-8 19:24:17

多谢喽！

一道数学题

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