Question: please show all steps to proof and write neatly if handwritten Prove by induction the following claims (a) |w^n| = n|w| for all strings w

 please show all steps to proof and write neatly if handwritten

please show all steps to proof and write neatly if handwritten

Prove by induction the following claims (a) |w^n| = n|w| for all strings w and for n elementof N

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