In characteristic $p$, the $p$th-power map preserves addition and multiplication.Suggest a slogan
Let \(k\) be a field of characteristic \(p > 0\). For all \(a, b \in k\), \[ (a+b)^p = a^p + b^p \quad\text{and}\quad (ab)^p = a^p b^p. \]
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