The LHC experiment has ushered in a new era in particle physics by not only discovering but also precisely measuring exotic hadrons?particle states comprised of more than three constituent quarks. This breakthrough has prompted profound questions within Quantum Chromodynamics (QCD) regarding the processes involved in hadron formation. The forthcoming Electron-Ion Collider (EIC) emerges as a pioneering facility poised to unravel the mysteries of the subatomic realm. As a state-of-the-art research center, the EIC presents an unparalleled opportunity to discover and characterize new penta-quarks and tetra-quarks. The combination of its extraordinary luminosity and spin polarization capabilities will open a new era in exotic hadron research. In this presentation, I demonstrate the vital role that the EIC experiment plays in confirming the existence of pentaquarks, focusing on two distinct varieties: the heavy pentaquark, p_c (uudcc-bar), and the light pentaquark, p_s (uudss-bar), both can be produced by the photon-proton sub-collision. The vector-meson dominance model was used to analyze their cross sections.