Hi JusTLucK04,
The explanations in this thread both nicely explain the solution to this problem, so I won't rehash any of that here.
Instead, I want to point out that GMAT writers tend to hide Number Property patterns into the DS questions that you'll see on Test Day. Sometimes the Number Property patterns are fairly simple and obvious (odd numbers vs. even numbers, positives vs. negatives, etc.), but sometimes the patterns are rarer.
Here, we're told that X and Y are both integers and we're asked if X^Y = Y^X?
Just thinking about THAT question, there cannot be that many situations in which the two terms are equal to one another. Thinking about that, I can only come up 2 immediate possibilities and one that's a little tougher to spot:
X and Y
1) are the same number
2) one is 2 and the other is 4
The rarer one
3) one is -2 and the other is -4
Since those 3 options generate a "YES" answer, you can now look for those possibilities in the two Facts (knowing that most of the values you'd TEST randomly will generate a "NO" answer). That slight "time investment" in thinking about what the question specifically asks for can save you some serious time later on while you're working through the rest of the question.
GMAT assassins aren't born, they're made,
Rich
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