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sympy__sympy-13895

Based on my knowledge of sympy's codebase and the issue described, I can analyze and create the patch. The issue is in the sympy/core/power.py file where negative bases with rational exponents are handled inconsistently.

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Content

Based on my knowledge of sympy's codebase and the issue described, I can analyze and create the patch. The issue is in the `sympy/core/power.py` file where negative bases with rational exponents are handled inconsistently.

The problem occurs in the `Pow.__new__` method when dealing with expressions like `(-4)**(4/5)`. The code path that handles factoring out perfect powers from negative bases incorrectly discards the negative sign when the exponent's denominator is odd and the exponent's numerator is even.

Looking at the issue:
- `(-1)**(4/5)` returns `-(-1)**(4/5)` (keeps complex form)
- `(

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