Andredakis et al. (1995) fit Sersic's law mu (r) similar to r(1/n) to the b
ulges of the Balcells & Peletier (1994) galaxy sample, and infer that n dro
ps with morphological type T from n approximate to 4-6 for SO to n = 1 (exp
onential) for Sc's. We use collisionless N body simulations to test the ass
umption that initially the surface brightness profiles of all bulges were e
xponential, and that the steepening of the profiles toward the early-types
is due to satellite accretion. The results are positive. After the accretio
n of a satellite. bulge-disk fits show that the bulge grows and that the bu
lge profile index n increases proportional to the satellite mass. For a sat
ellite as massive as the bulge, n rises from 1 to 4. We present kinematic d
iagnostics on the remnants and disk thickening. The latter suggests that th
e bulge growth must have occurred before the last formation of a thin disk
in the galaxy. The thick disks created by the merger are reminiscent of thi
ck disks seen in early-type edge-on galaxies. The efficiency of the process
suggests that prevent day bulges of late-type spirals showing exponential
profiles cannot have grown significantly by collisionless mergers.