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QCD sum-rules are used to calculate the $\hat\rho(1^{-+})\to\pi\eta,\pi\eta'$ decay widths of the exotic hybrid in two different $\eta-\eta'$mixing schemes.  In the conventional flavour octet-singlet mixing scheme, the decay widths areboth found to be small, while in the recently-proposed quark mixing scheme, thedecay width $\Gamma_{\hat\rho\to\eta\pi}\approx 250 MeV$ is large compared withthe decay width $\Gamma_{\hat\rho\to\eta^\prime\pi}\approx 20 MeV$. Theseresults provide some insight into $\eta$-$\eta'$ mixing and hybrid decayfeatures.Comment: latex2e, 11 pages with 4 embedded eps figures. v 2 corrects reference  [5] and minor error in equation (11

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Decays of theρ^(1−+)exotic hybrid and