After the war of 1812, the united states was seen as a greater military power because

it had won a great victory.
there was no clear winner.
us land troops performed well.
it had defeated american indians.

After the War of 1812, the United States was seen as a greater military power because there was no clear winner.

Explanation:

The War of 1812 took place in a context in which America was a young nation, while Britain was an economic and military power, colonizing large territories throughout the globe.

Therefore, the fact that the war had ended without a clear winner, with America reaffirming its sovereignty and its independence against the main world power, made the rest of the nations reconsider their vision against the American military power, beginning to consider it as one of the most important in the world.

imperialism and colonization in 1936

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an empire is a sovereign state functioning as an aggregate of nations or people that are ruled over by an emperor or another kind of monarch. the territory and population of an empire is commonly of greater extent than the one of a kingdom.[1]

an empire can be made solely of contiguous territories, such as the austro-hungarian empire or the russian empire, or of territories far remote from the homeland, such as a colonial empire. aside from the more formal usage, the word empire can also refer colloquially to a large-scale business enterprise (e.g. a transnational corporation), a political organisation controlled by a single individual (a political boss), or a group (political bosses).[2] the word empire is associated with such other words as imperialism, colonialism, and globalization. empire is often used to describe a displeasure to overpowering situations.[3]