Fermatean Quadripartitioned Neutrosophic fuzzy graph (FQNFG) is the integrating form of Fermatean and Quadripartitioned Neutrosophic fuzzy graph. Graph energy is recognized as a crucial concept in fuzzy graph theory for its ability to handle random events, thus capturing the attention of numerous researchers. Moreover, the study of graph energy has been a notable rise in recent years. Energy of Graphs have significant applications in various domains, including network analysis, decision making, Image processing, modelling uncertainty etc. This paper introduces energy and Laplacian energy for FQNFG. Adjacency matrix, eigen values, energy and Laplacian energy of FQNFG are defined with examples. Furthermore, we obtain lower and upper bounds of energy and Laplacian energy for FQNFG. Additionally, this study represents a sophisticated decision-making framework, employing a scoring methodology to assess and compare Laptops based on critical attributes such as processing power, memory & storage, Battery life and Display quality..