cut a wide swathe

/K AH1 T AH0 W AY0 D S W AA0 DH/
verb
  1. 1

    To clear a broad track through a grassland, woodland, geographical region, or other area, either by natural means or by human action.

  2. 2

    To behave in an expansive, flagrantly showy, or pushy manner, especially in public venues; to exert sweeping influence.

Source: https://en.wiktionary.org/wiki/cut%20a%20wide%20swath, https://en.wiktionary.org/wiki/cut%20a%20wide%20swathe