If pqr ≠ 0 and \({{p}^{-x}}=\frac{1}{q}~,~{{q}^{-y}}=\frac{1}{r}\text{ }\!\!~\!\!\text{ },\text{ }\!\!~\!\!\text{ }{{r}^{-z}}=\frac{1}{p}\text{ }\!\!~\!\!\text{ },\text{ }\!\!~\!\!\text{ }\)What is the value of the product of xyz?

1
-1
2
\(\frac{1}{pqr}\)
3
1
4
pqr

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