What would happen to the power dissipated in the voltage divider?

'Power dissipation' in a voltage divider describes the rate at which energy is transferred from the resistors to the surrounding atmosphere through heat transfer, due to the work done on the resistors by the current flowing through them. If the work done on the resistors causes their temperature to increase faster than heat transfer takes place (a function of the surface area of the resistors), then they will overheat and, possibly, burn out.