Let $ \mathbb{K}$ be a field with 27 elements and $ a \in \mathbb{K}$. Then there exists $ x, y \in \mathbb{K}$ such that $ x^3 + y^5 = a$.

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Let $\mathbb{K}$ be a field with 27 elements and $ a \in \mathbb{K}$. Then there exists $ x, y \in \mathbb{K}$ such that $ x^3 + y^5 = a$. How to try? Using extensions fields?