What is meant by cotton is king? how did its sovereignty extend beyond the south? what implications did its rule have?

The answer is the cotton farms were dominating the southern economy.

Explanation:

King Cotton was a popular term used in antebellum south, mostly due to the fact  that cotton dominated the southern economy. The slaves worked hard in cotton plantation bringing prosperity and economy growth to the south.

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treating native americans justly and giving them equal rights as citizens of the united states" was not a way in which americans sought to solve the indian problem. removal was the most popular idea.