I'm looking to simplify the following expression (or to determine if it's even possible). Given two vectors $x, y \in R^N$, simplify $e^{x \cdot \log{y}}$. I found it in some m-code for an infinite mixture model I've come across, and I'm trying to verify the model for correctness.
2026-04-08 15:32:07.1775662327
Simplify $e^{x \cdot \log{y}}$ where $x, y \in R^N$
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