Kodak Z980 has a 12.0MP 1/2.33" (6.08 x 4.56 mm ) sized CCD sensor . On the other hand, Fujifilm Z900EXR has a 16.0MP 1/2" (6.4 x 4.8 mm ) sized EXRCMOS sensor and features EXR processor.
Below you can see the Z980 and Z900EXR sensor size comparison.
As seen above, Fujifilm Z900EXR has a 1.1x Larger sensor area than Kodak Z980. 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.