Arrange the following in chronological order: the Tiahuanaco empire expanded; South Americans began to domesticate plants; the Norte Chico civilization arose.

To arrange the events in chronological order, we need to determine the approximate time period for each event:

1. South Americans began to domesticate plants: Domestication of plants refers to the cultivation and breeding of plants for human use. This process began around 9,000 BCE during the Neolithic Period or the New Stone Age.

2. Norte Chico civilization arose: The Norte Chico civilization, also known as the Caral-Supe civilization, emerged around 3,000 BCE. It was one of the oldest known civilizations in the Americas.

3. The Tiahuanaco empire expanded: The Tiahuanaco (Tiwanaku) empire reached its height of power between 400 and 900 CE. It was a pre-Inca civilization located in present-day Bolivia.

Based on these approximate time periods, we can arrange the events in chronological order as follows:

1. South Americans began to domesticate plants (Neolithic Period, around 9,000 BCE)
2. Norte Chico civilization arose (around 3,000 BCE)
3. The Tiahuanaco empire expanded (between 400 and 900 CE)

Remember that these dates are approximations and can vary slightly depending on different sources or archaeological findings.