How many layers are there?

Algebra Level 3

It's obvious that 4=224=2^2.

Can we also express 4444^{4^4} as 222⋅⋅2⏟n 2’s\Large \underbrace{2^{2^{2^{\cdot^{\cdot^2}}}}}_{n \text{ 2's}} ?

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Pi Han Goh by Pi Han Goh
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