The inhabitants of the City of Bexley, as its corporate limits now are, or may hereafter be, shall constitute a body politic and corporate under the name of the City of Bexley, with full power and authority to enlarge its corporate limits by the annexation of territory, or to detach territory therefrom in the manner authorized by the general laws of the State of Ohio; but no territory shall be detached therefrom, nor shall the City be annexed to any other municipality, without the approval of a majority of the electors of the City of Bexley voting on such question. Said City shall have all powers that now are, or hereafter may be, granted to cities by the Constitution and the laws of Ohio, and all such powers, whether expressed or implied, shall be exercised and enforced in the manner prescribed by this Charter, and any amendments thereto, or if not so prescribed, then in such manner as now is, or hereafter may be, provided by ordinance or resolution of Council. In the absence of such provision for the exercise of any power, such power shall be exercised in the manner that now is, or hereafter may be, prescribed by the general laws of Ohio applicable to cities.