The value of $({{(2^{2})}^{2})}^{2}$ is:

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Solution

The correct option is C

$({{(2^{2})}^{2})}^{2}$
= ${((2)^{2})}^{2 \times 2}$
= ${((2)^{2})}^{4}$
= $2^{2 \times 4}$
= $2^{8}$

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