37.) Let o be an isomorphism from group G to group H. Let x be in G. Prove that $(x") : (6(x))" for every integer n. 38 IE G and H are grouns and d: G H ie o that a and bla) have

Create steps along with justifications to verify that in a group system (G, +) the following property holds:For any two elements from G, ‘a’ and ‘b’, -(a + b) = (-b) + (-a). In other words, the claim is that (-b) + (-a) plays the role of the inverse of a + b. Create steps to show that the element (-b) + (-a) does, in fact, play the role of an inverse to the element a + b, i.e., show that:i. (a + b) + ( (-b) + (-a) ) = e, where e represents the identity in the group; andii. ( (-b) + (-a) ) + (a + b) = e.

251 Is the grouporder 539 simple? Explain