let's organize the information in a table:
| Exponent | Simplified Form |
|----------|-----------------|
| 3^4 | 81 |
| 3^3 | 27 |
| 3^2 | 9 |
| 3^1 | 3 |
| 3^0 | 1 |
Now, looking at the pattern, as the exponent decreases by one, the result is divided by 3. For example:
- 81 ÷ 3 = 27
- 27 ÷ 3 = 9
- 9 ÷ 3 = 3
- 3 ÷ 3 = 1
So, for 3^0, we'd divide 1 by 3, which equals 1/3. However, you mentioned that 3^0 equals 1, which is correct. The pattern holds if we consider 3^0 as 1.
