Question: Show that if the concatenation of two words (neither A) in PALIN DROME is also a word in PALINDROME, then both words are powers of

Show that if the concatenation of two words (neither A) in PALIN DROME is also a word in PALINDROME, then both words are powers of some other word; that is, if x and y and xy are al l in PALINDROME, then there is a word z such that x = zⁿ| and y = z^m for some integers n and m (maybe n or m = 1).

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