The Homestead Act was a legislative provision of the United States according to which 160 acres (65 hectares) of state land were assigned to those who requested it in the wilds outside the borders of the thirteen original colonies. The new law provided for three phases: an assignment request, the commitment to work the assigned land and obtaining the title of property. Those who had never fought against the US government and, among them, freed slaves, could apply for assignment to a local local office.
As a result of it, the population grew in the territories, due to the immigration to those areas, and cattle ranching industry grew as the new settlers were commited to work the assigned lands.
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The answer is constitutional law.
Pike's expedition was similar to Lewis and Clark's expedition because they both explored the West. However, Pike went into Spanish territory and got arrested by them.
Both of their reports on the expedition helped expand the American's knowledge about the Southwest.
