Abstract
We study the matter power spectrum in cosmology based on the expo- nential f(R) gravity model by using the program, Modi cation of Growth with CAMB (MGCAMB). We also examine the e ect of the matter power spectrum when a massive neutrino is considered. By comparing the spectra between the theoretical expectations and the observation of the luminous red galaxies (lrg) from the Sloan Digital Sky Survey (SDSS) of the Seventh Data Release (DR7), we nd that the exponential f(R) gravity model is compatible with larger neutrino mass than the CDM model.