  We derive the general supertrace formula for a system with $N$ chiral
superfields and one nilpotent chiral superfield in global and local
supersymmetry. The nilpotent multiplet is realized by taking the
scalar-decoupling limit of a chiral superfield breaking supersymmetry
spontaneously. As we show, however, the modified formula is not simply related
to the scalar-decoupling limit of the supertrace in linearly-realized
supersymmetry. We also show that the supertrace formula reduces to that of a
linearly realized supersymmetric theory with a decoupled sGoldstino if the
Goldstino is the fermion in the nilpotent multiplet.
