Let G be a group. For each x ∈ G and a,b ∈ Z+ a) prove...

Let G be a group. For each x ∈ G and a,b ∈ Z⁺

a) prove that x^a+b = x^ax^b

b) prove that (x^a)^-1 = x^-a

c) establish part a) for arbitrary integers a and b in Z (positive, negative or zero)

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Expert Solution

Colby Messinger answered 1 year ago

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