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Information and coding theory question

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When S is a source, let S^n denote the n-th extenstion of S. Is it true that S^4n = (S^2n)^2 ?

I belive that it is true but i need a good complete explanation .

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https://brainmass.com/computer-science/coding-and-information-theory/information-coding-theory-question-25536

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Information and coding theory question.
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When S is a source, let S^n denote the n-th extenstion of S. Is it true that S^4n = (S^2n)^2 ?

I belive that it is true but i need a good complete explaniation . ...

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Information and coding theory question is answered.

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