Subject: Abstract AlgebraPlease help me out with these problems through proofing. There are two parts to it.Suppose G is a group, with a belong to G.a. Prove that a^ma^n = a^m+n for all natural numbers m and n. Hint: Fix n belong to N. Then prove by mathematical induction on m.b. Prove that (a^m)^n = a^mn for all natural numbers m and n.

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A:

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A: Suppose P=(x0,y0) is an critical point of the system x\'=f(x,y) , y\'=g(x,y),and that f and g are di...

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Q: the book is "First Course on Fuzzy Theory and Applications"

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A: To establish the formula for the sum of the first n squares, using induction.

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A:

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