Is it equivalent to raising every term by 4?

Algebra Level 2

We know that 4×4×4×44 times=44.\underbrace{4 \times 4 \times 4 \times 4}_{4 \text{ times}} = 4^4.

But how many 444^4 are there in the left side of the equality 44×44××44How many times?=4(44)?\underbrace{4^4 \times 4^4 \times \cdots \times 4^4}_{\text{How many times?}} = {\large 4^{\left( 4^4 \right)}} ?

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