  We calculate the electromagnetic multipole moments of the $P_c^+(4380)$
pentaquark by modeling it as the diquark-diquark-antiquark and $\bar
D^*\Sigma_c$ molecular state with quantum numbers $J^P = \frac{3}{2}^-$. In
particular, the magnetic dipole, electric quadrupole and magnetic octupole
moments of this particle are extracted in the framework of light-cone QCD sum
rule. The values of the electromagnetic multipole moments obtained via two
pictures differ substantially from each other, which can be used to pin down
the underlying structure of $P_c^+(4380)$. The comparison of any future
experimental data on the electromagnetic multipole moments of the $P_c^+(4380)$
pentaquark with the results of the present work can shed light on the nature
and inner quark organization of this state.
