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sympy__sympy-14024

Based on my knowledge of the SymPy codebase and the issue described, I can provide the fix. The issue is in sympy/core/power.py in the Pow.__new__ method where negative integer bases with rational exponents are simplified.

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Content

Based on my knowledge of the SymPy codebase and the issue described, I can provide the fix. The issue is in `sympy/core/power.py` in the `Pow.__new__` method where negative integer bases with rational exponents are simplified.

The problem occurs when simplifying expressions like `(-2)**(-10/3)`. The code incorrectly extracts the sign, computing `(-1)**(-10/3) * 2**(-10/3)` but the issue is that for negative integer bases with non-integer exponents, the simplification `(-a)**x = (-1)**x * a**x` is only valid when `a` is positive and `x` is an integer.

Looking at the specific issue and the hin

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