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Which of the following values is same as 22222^{2^{2^{2}}}2222​?
Question

Which of the following values is same as 22222^{2^{2^{2}}}​?

A.

262^6​​

B.

282^8​​

C.

2162^{16}​​

D.

22222^{2^{2^{2}}}​​

Correct option is C

Given:

22222^{2^{2^2}} \\

Solution:

2222Step 1: 22=4Step 2: 24=16So, 2222=2162^{2^{2^2}} \\\text{Step 1: } 2^2 = 4 \\\text{Step 2: } 2^4 = 16 \\\text{So, } 2^{2^{2^2}} = 2^{16}

​Final Answer: (c) 2162^{16}216

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