1. Let k > 0 and m> 10% be integers, and let 0 denote a string...

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1. Let k > 0 and m> 10% be integers, and let 0 denote a string of k zeros i.e. Ok =00...0. Prove that there exist N and b1, b2,..., be {0,1,..., 9} such that if and only if m is a factor of 10% (10-1). 1 m = 0.0b1b2...be 1. Let k > 0 and m> 10% be integers, and let 0 denote a string of k zeros i.e. Ok =00...0. Prove that there exist N and b1, b2,..., be {0,1,..., 9} such that if and only if m is a factor of 10% (10-1). 1 m = 0.0b1b2...be