The appearance of the quantum gravitational effects in a very high energy regime necessitates some corrections to the thermodynamics of Friedmann-Robertson-Walker (FRW) universe. The modified dispersion relation (MDR) as a phenomenological approach to investigate the high energy physics provides a perturbation framework uponwhich the FRWuniverse thermodynamics can be corrected. In this letter, we obtain the corrected entropy-area relation of the apparent horizon of FRWuniverse by utilizing the extra dimensional formofMDR, leading to the modification of Friedmann equations. The influence ofMDR on the Friedmann equations provides a good insight into the understanding of the FRWuniverse dynamics in the final quantum gravity theory.