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Let $F$ be a field with ${\\rm ch}(F)\\not=2$, where ${\\rm ch}(F)$ is the characteristic of $F$. For any integer $k\\ge4$, we show that each $x\\in F$ can be written as $a_1+\\ldots+a_k$ with $a_1,\\ldots,a_k\\in F$ and $a_1\\ldots a_k=1$ if ${\\rm ch}(F)\\not=3$, and that for any $\\alpha\\in F\\setminus\\{0\\}$ we can write each $x\\in F$ as $a_1\\ldots a_k$ with $a_1,\\ldots,a_k\\in F$ and $a_1+\\ldots+a_k=\\alpha$. 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