When Roger warns his subordinate that failing to finish on time will result in termination, what type of power does he exercise?

The correct answer is coercive power because this type of power is based on the ability to impose negative consequences for non-compliance. In this scenario, Roger is using the threat of termination as a means to influence his subordinate's behavior, effectively leveraging the fear of a detrimental outcome to motivate compliance. This reflects a reliance on authority to control actions through potential punishment, characteristic of coercive power.

Other forms of power, such as position power, revolve around the legitimate authority that comes with a specific role within an organization, but it doesn't inherently involve threats or punishment. Expert power relies on a person's skills or knowledge to influence others, which is not the case here as the focus is on the threat rather than expertise. Likewise, referent power is based on personal relationships and the admiration others feel for a leader, which is also not applicable in this context since the interaction is centered on warnings and consequences rather than mutual respect or admiration.