  The experimental signature of an S=+1 baryon of mass 1540 MeV and width 10-25
MeV has led to speculation that this is an exotic baryon consisting of 4 quarks
and 1 antiquark lying at the top of a $\bar{10}$ SU(3) multiplet. The observed
decay modes are $\Theta^{+} \to K^{+}n$ and $\Theta^{+} \to K^0_Sp$ or in terms
of flavor multiplets, $\bar{10}$ to 8 x 8. The effective Hamiltonian for this
decay can be written as a flavor singlet piece plus an SU(3) breaking term. By
using the Wigner-Eckart thereom, we then relate the decay amplitudes of all 10
members of the antidecuplet in terms of 5 parameters. Similarly, we perform the
same calculation for the proposed exotic multiplets 27 and 35.
