A power-tool cutting device that is free of a torque-transmitting element includes at least one cutting strand and at least one guiding unit for guiding the cutting strand. The guiding unit together with the cutting strand forms a closed system. The power-tool cutting device has at least one preloading unit that is arranged on the guiding unit. The preloading unit is configured for automatic play compensation and/or tolerance compensation of the cutting strand at least during a state of the guiding unit in which the guiding unit is removed from a coupling device of a portable power tool.