The city council shall, after public hearing, have power to determine and declare by resolution that the whole or any part of the expense of public improvement, repair, or abatement of nuisance shall be defrayed by special assessments upon the property specifically benefited.
(a) Those roads, maintained by the City, which have been designated as Basic Arterial Inter-County Roads shall be improved without specially assessing any costs thereof to the residential property adjacent thereto.
(b) Those paved roads which have been accepted and are maintained by the city, and have been reported to and approved by the Michigan Department of State Highways and Transportation for the purposes of Act 51 of the Public Acts of 1951 [MCL 247.651 et seq., MSA 9.1097(1) et seq.] shall be maintained, repaired and improved without specially assessing any costs thereof to the residential property adjacent thereto.