------
## 最终结论
```python
def find_exponentio(tuple1, tuple2):
    result = []
    for base, exponent in zip(tuple1, tuple2):
        result.append(base ** exponent)
    return tuple(result)

# Test cases
assert find_exponentio((10, 4, 5, 6), (5, 6, 7, 5)) == (100000, 4096, 78125, 7776)
assert find_exponentio((11, 5, 6, 7), (6, 7, 8, 6)) == (1771561, 78125, 1679616, 117649)
assert find_exponentio((12, 6, 7, 8), (7, 8, 9, 7)) == (35831808, 1679616, 40353607, 2097152)
```