Final answer:
Native Americans in New Mexico gained the right to vote in 1862.
Step-by-step explanation:
In 1862, Native Americans in the state of New Mexico gained the right to vote.
In 1862, the United States enacted the Homestead Act, which granted United States citizenship and voting rights to Native Americans who were living on reservations. It is important to note that this right was only extended to Native Americans in New Mexico and not to those living in other states at that time.
This was a significant step towards recognizing the rights and privileges of Native Americans as citizens of the United States.
Learn more about Native Americans getting the right to vote in New Mexico