Final answer:
The Reign of Terror influenced the new establishment of rule within France by solidifying the power of the revolutionary government and suppressing dissent. It resulted in widespread executions and the enforcement of government authority through fear.
Step-by-step explanation:
The Reign of Terror influenced the new establishment of rule within France by solidifying the power of the revolutionary government and suppressing dissent. During this period, the Committee of Public Safety implemented repressive measures to maintain control, such as passing laws to imprison and try perceived enemies of the state. The Reign of Terror resulted in widespread executions, symbolized by the guillotine, which further enforced the authority of the government and instilled fear in the population.