Let's break down Tara's rock collection growth:
1. Tara starts with 2 rocks.
2. In the first year, she increases her collection by a power of three. This means multiplying her current collection by 3^1 = 3.
- After the first year: 2 rocks * 3 = 6 rocks
3. In the second year, she increases her collection by a power of two. This means multiplying her current collection by 2^1 = 2.
- After the second year: 6 rocks * 2 = 12 rocks
After the second year, Tara will have 12 rocks.
