Both FujiFilm F300EXR and Panasonic ZS50 have 12.0 MP resolution sensors but FujiFilm F300EXR's sensor is 1/2-inch (6.4 x 4.8 mm ) and Panasonic ZS50's sensor is (1/2. ).
Since FujiFilm F300EXR's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Panasonic ZS50.
Below you can see the F300EXR and ZS50 sensor size comparison.
As seen above, FujiFilm F300EXR has a infx Larger sensor area than Panasonic ZS50. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.