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Is xyz = 1?

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Is xyz = 1?

(1) x(y^z) = 1
(2) 5z = 0

[Reveal] Spoiler:
Is this question asking me if I can figure out if xyz = 1? Or is it asking me if any of the two statements fit the condition for xyz to equal 1?

My answer was E, as none of the statements met the condition xyz = 1. But the answers in the book say it's B, as statement 2 gives a definitive NO answer.

Can someone please help me on what the correct approach is for these DS questions.

This question is on the McGraw Hill's GMAT 2010 edition, Practice Test 3, Quantitative Question 15.

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