"To be, or not to be, that is the question."
To precipitate or not to precipitate, that is the Q.
As long as Q < K (in this case Ksp), a precipitate NiCO3 will not form; until Q=K, a precipitate forms.
Qsp (not an authorized term) = [Ni2+][CO3 2-] = [Ni2+] x 0.00500 (M) =Ksp = 1.30 × 10⁻⁷
Max [Ni2+] = 1.30 × 10⁻⁷ / 0.00500 = 2.60 × 10⁻5 M before NiCO3 forms.