Question: Need serious help with this question. Kindly help me solve it using simple logic. It is a question from course: Theory of Automata. Title of

Need serious help with this question. Kindly help me solve it using simple logic.

It is a question from course: "Theory of Automata".

Title of chapter: "Languages".

Need serious help with this question. Kindly help me solve it using

Show that if the concatenation of two words (neither ) in PALINDROME is also a word in PALINDROME, then both words are powers of some other word, that is, if x and y and xy are all in PALINDROME, then there is a word z such that x = zn and y = zm for some integers n and m (maybe n or m = 1)

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