New Operation

Algebra Level 3

Let \(a^{(?n)} = \sqrt[n]{a} \times \sqrt[n]{\sqrt[n]{a}} \times \sqrt[n]{ \sqrt[n]{\sqrt[n]{a}}} \times \cdots \).

For example, \(a^{(?3)} = \sqrt[3]{a} \times \sqrt[3]{\sqrt[3]{a}} \times \sqrt[3]{ \sqrt[3]{\sqrt[3]{a}}} \times \cdots\).

If \(a \in \mathbb{R^+}\) and \(n \in \mathbb{Z^+}\).

Find \(3^{(?2)}\)

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