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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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