We report the results of (63,65) Cu-NMR measurements on single-layered copper-oxide Bi2Sr1.6La0.4CuO6+delta (T-c = 32 K) conducted under very high magnetic fields up to 45 T. The high magnetic field suppresses superconductivity completely, and the pseudogap ground state is revealed. The Cu-63-NMR Knight shift shows that there remains a finite density of states at the Fermi level in the zero-temperature limit, which indicates that the pseudogap ground state is a metallic state with a fi nite volume of Fermi surface.