If x and y are nonzero integers, is~$x ^y< y^x$~ ?

(1)~$x = y^2$~

(2) y > 2

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

考题讲解

（1）  例如x=1，y=-1，~$x^y=1$~,~$y^x=-1$~，则不满足~$x^y＜y^x$~。又如x=4，y=-2，~$x^y=\frac{1}{16}$~，满足，所以~$x^y＜y^x$~，仅条件1无法判断。

（2）  例如y=3，x=1符合条件2，~$x^y=1$~,~$y^x=3$~，满足~$x^y＜y^x$~。又如y=3，x=3，~$x^y=27$~,~$y^x=27$~，不满足~$x^y＜y^x$~，因此，仅有条件2也无法判断。