Both Fujifilm S9900w and Sony HX9V have 16.0 MP resolution sensors but Fujifilm S9900w's sensor is (1/2. ) and Sony HX9V's sensor is 1/2.3-inch (6.17 x 4.55 mm ).
Since Sony HX9V'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 Fujifilm S9900w.
Below you can see the S9900w and HX9V sensor size comparison.
Sensor Size and Resolution Comparison image of Fujifilm S9900w and Sony HX9V Cameras
As seen above, Sony HX9V has a infx Larger sensor area than Fujifilm S9900w. 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.