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Tuple Index-wise Multiplication

Write a function `index_multiplication` that takes two tuples of tuples as input and returns a new tuple of tuples. Each inner tuple in the result should contain the element-wise product of the corresponding inner tuples from the input.

#### Example Usage
```python [main.nopy]
result = index_multiplication(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3)))
print(result)  # Output: ((6, 21), (12, 45), (2, 9), (7, 30))
```

#### Constraints
- The input tuples will always have the same structure and dimensions.
- Each inner tuple will contain integers.
- The function should handle any number of inner tuples and any length of inner tuples.
def index_multiplication(tuple1, tuple2):
    """
    Perform index-wise multiplication of tuple elements in the given two tuples.

    Args:
        tuple1 (tuple of tuples): The first tuple of tuples.
        tuple2 (tuple of tuples): The second tuple of tuples.

    Returns:
        tuple of tuples: A new tuple of tuples with index-wise multiplied elements.
    """
    # Initialize the result tuple
    result = ()
    # Perform the index-wise multiplication
    # Placeholder for implementation
    return result
Intermediate
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