Prove from the definitions: m (a) For all odd integers m, (-1) = -1. (b) For...

 

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Prove from the definitions: m (a) For all odd integers m, (-1) = -1. (b) For all even integers n, (-1) = 1. n For parts (a) and (b), you may assume that (-1) = 1 and that any power of 1 is 1, along with the laws of exponents. Prove from the definitions: m (a) For all odd integers m, (-1) = -1. (b) For all even integers n, (-1) = 1. n For parts (a) and (b), you may assume that (-1) = 1 and that any power of 1 is 1, along with the laws of exponents.