There were many impacts of the French and Indian War, which was a very significant turning point in world power dynamics.
For one thing, the Treaty of Paris, the treaty that concluded the war, ceded all French territory in North America to Great Britain. In short, France was finished as an imperial power in North America. However, the British found this to be a mixed blessing. This upset the fragile balance of power that Native peoples, most notably the Iroquois confederacy, had been able to use to their advantage. One immediate effect of the Treaty of Paris was Pontiac's Rebellion, which resulted in part from Native anxieties about their treatment at the hands of the British and future colonial expansion. In an effort to avert future conflicts with Native peoples, the British crown issued the Proclamation of 1763, which forbade settlement by British colonists west of a line that extended along the Appalachian Mountains. This angered many American settlers and land speculators.
Americans were also angry at British attempts to make the colonies pay for the costs of occupying these new territories, which were part of a broader attempt to reform the colonial structure. Especially galling was the Stamp Act, which attempted to raise revenues by levying a tax on official documents. This was more or less a direct consequence of the French and Indian War. Further attempts to raise money by levying and enforcing higher import duties further angered the colonists, precipitating the outbreak of the American Revolution.
Another result of the war was increased tensions between Native peoples and British settlers on the frontier. The French and Indian War had been very bloody in western Pennsylvania in particular, and this raised tensions between settlers there and colonial elites in the east. It also contributed to the growing number of settlers who moved from Pennsylvania and Maryland to the Carolina backcountry. Finally, the war led to real tensions between the Crown and the colonial assemblies, who were generally stingy in contributing to the war effort. This often-overlooked issue provides important context for the imperial crisis that followed the war.