2989+[989-(297:3^2+2^2.3^3)]

To solve the expression 2989 + [989 - (297 : 3^2 + 2^2 . 3^3)], we will break it down step by step.

1. Calculate the exponentiations:
- 3^2 = 9
- 2^2 = 4
- 3^3 = 27

2. Substitute these values into the expression:
- 297 : 9 + 4 . 27

3. Perform the division:
- 297 : 9 = 33

4. Now calculate the multiplication:
- 4 . 27 = 108

5. Substitute these results back into the expression:
- 33 + 108

6. Now add these two results:
- 33 + 108 = 141

7. Substitute back into the larger expression:
- 989 - 141

8. Calculate the subtraction:
- 989 - 141 = 848

9. Finally, substitute back into the entire expression:
- 2989 + 848

10. Now perform the final addition:
- 2989 + 848 = 3837

So, the final answer is 3837.