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Anonymous User Best Answer
Since (59,43) = 1 , there are integers p,q so that 59p+43q =1. Let c= a^43. a= a^(59p+43q )=a^(43q) = c^(q) Since b commutes with c , b will commmute with all powers of c. In partticular b commutes with c^q = a So ba =ab . Thus m =1