All cities within this state having less than thirty thousand inhabitants and having a special charter, in their corporate capacity are authorized and empowered to enact ordinances for the following purposes, and upon the following conditions, in addition to their other powers:

(1) To have exclusive control and power over the streets; to grade, pave, macadamize, gutter, curb, oil and otherwise improve streets, avenues and alleys, and to repair or reconstruct any paving, macadamizing, guttering or curbing; to have exclusive control and power over the streets, avenues, alleys and public grounds and highways; to open, alter, widen, extend, vacate, establish grades, pave or otherwise improve, clear and keep in repair; to prevent and remove all encroachments thereon or obstruction thereof; to put drains and sewers in the same and to regulate the placing of vaults under sidewalks; to prohibit the erection of sheds and awnings; and to control the erection and placing of signs and billboards on buildings and sides of the public streets, alleys, avenues and public grounds within the corporate limits; to control the erection and placing of telegraph, telephone and electric light poles on the same; and to require the owners of all telegraph, telephone and electric light plants to place their wires and cables under ground in the business sections of such cities as the proper authorities may provide by ordinance or resolution; and to enforce the same by imposing appropriate fines, forfeitures and penalties for violation of such ordinances;

(2) To construct and repair sidewalks, bridges, culverts, sewers, crosswalks, and to exercise exclusive control over streets, avenues and alleys, and establish grades therefor;

(3) To pay the cost of bridges, culverts, public sewers and footwalks across streets, avenues and alleys out of the general revenue fund of the city;

(4) To pay the cost of grading streets, avenues and alleys by levying a special assessment on all lots and tracts of land fronting or abutting on the improvement, with the exception of street and alley intersections, which shall be paid as provided in subdivision (11) of this section, in proportion to the front foot thereof;

(5) To grade all or any part of any street, avenue or alley, and when the sidewalk portion of any street or avenue is graded exclusive of the other part of the same, then the cost shall be assessed on the lots or tracts of land fronting or abutting on the side of the street or avenue improved and on the improvement;

(6) To pay the cost of grading, paving, macadamizing, repairing and curbing streets, avenues and alleys out of the general revenue fund if the council so order;

(7) To pay the cost of constructing and reconstructing curbing and sidewalks by levying a special assessment on all lots or tracts of land fronting or abutting on the improvement in proportion to the front foot thereof; provided, that corner lots shall be liable for the extension of curbs and sidewalks to the curb line each way;

(8) To pay the cost of repairing sidewalks by levying a special assessment on the particular lot or tract of land fronting or abutting on the part repaired;

(9) To pay the cost of grading, paving, macadamizing and otherwise improving the roadway of streets, avenues and alleys, except the cost of such improvement on street and alley intersections which shall be paid as provided in subdivision (11) of this section, by levying a special assessment on the lots and tracts of land fronting or abutting on either side of said street, avenue or alley along the distance improved in proportion to the front foot;

(10) To pay the cost of repairing the paving, macadamizing and guttering on any street, avenue or alley by levying a special assessment in the following manner: The street, avenue or alley repaired shall be divided into sections, a section being the distance from the center of one cross or intersecting street to the center of the next cross or intersecting street, and the cost of each section shall be assessed on the lots or tracts of land fronting on either side of that section; and the cost of such repairs done on street intersections or other places fronting on any other street, avenue, alley or other public highway shall be included as a part of the cost of the work done on the part of the street whose improvement is provided for by the same ordinance and contract, and shall be charged and paid for in the same manner as the improvements provided for by such ordinance and contract;

(11) To pay the cost of grading, paving or macadamizing the squares and areas as formed by the crossing or meeting of streets, avenues or alleys, or parts thereof, or connections therewith, by levying a special assessment as follows: Such areas shall be divided into parts or portions by lines drawn lengthwise along the middle of each of said streets, avenues or alleys, or parts thereof, so intersecting or meeting, and the cost of said parts or portions shall be levied as a special assessment against the block or square contiguous to each, and prorated, in proportion to the front foot, against the lots or pieces of ground in such block or square fronting or abutting on each of such intersecting, crossing or meeting streets, avenues or alleys, or parts thereof.