n and m is nonzero,ask nm is iteger?
(1) m^n is positive number
(2) m^n is integer
what's the right answer for this question? and why?
thank you
选E吧!
条件一单独不充分,举例2^2=4,mn为正整数,2^(1/2)等于根号2,mn为正数,mn不是整数,答案不唯一,排除;
条件二单独不充分,举例2^2=4,mn为正整数,1^(1/2)=1 ,mn=1/2不是整数,答案不唯一,排除;
条件一二相结合,举例举例2^2=4,mn为正整数,1^(1/2)=1为正整数 ,mn=1/2不是整数,答案不唯一,排除.
所以选E
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