In this paper, we provide a novel Deficiency Zero Theorem (DZT) for Power Law Non-Reactant-Determined Kinetic (PL-NDK) systems via the notion of Power Law \( \hat{T} \)-independent Kinetic (PL-TIK) decomposition, a decomposition class such that each sub-network has zero kinetic reactant deficiency. In order to this, we first note that any PL-NDK system admits a PL-TIK decomposition by using the PL-TIK Decomposition Algorithm. Also, to ensure the existence of Zero Deficiency Decomposition (ZDD), we extend the proposed ZDD Algorithm (for MAK systems) to any Deficiency Zero PL-NDK system. Through ZDD and PL-TIK decomposition classes, we show that any weakly reversible, deficiency zero PL-NDK system admits positive equilibria. Lastly, we applied the main theorem of this paper to Schmitz' Global Carbon Cycle Model, which is a well-known and well-studied Deficiency Zero PL-NDK system.