All subdivisions of land made by the state, its agencies, instrumentalities, and political subdivisions are subject to the provisions of AS 40.15.010 - 40.15.200 and AS 29.40.070 - 29.40.160, or home rule ordinances or regulations governing subdivisions, and shall comply with ordinances and other local regulations adopted under AS 40.15.010 - 40.15.200 and AS 29.40.070 - 29.40.160 or former AS 29.33.150 - 29.33.240, or under home rule authority, in the same manner and to the same extent as subdivisions made by other landowners.