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sympy__sympy-18087

Based on the problem statement and hints, I have enough information to create the fix. The issue is in sympy/simplify/fu.py in the trig_split function. The problem is that when Factors._as_expr() is called on something like…

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Content

Based on the problem statement and hints, I have enough information to create the fix. The issue is in `sympy/simplify/fu.py` in the `trig_split` function. The problem is that when `Factors._as_expr()` is called on something like `Factors({sin(x)**2: S.Half})`, it incorrectly returns `sin(x)` instead of `sqrt(sin(x)**2)`.

Looking at the hints:
1. The issue is in `TR10i` which calls `trig_split` in `fu.py`
2. Line 1901 in `fu.py` applies `._as_expr()` to `Factors({sin(x)**2: S.Half})` which returns `sin(x)` incorrectly
3. The root cause is in `exprtools.py` lines 449-458 where exponents are un

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