## For each operation ∗ defined below, determine whether ∗ is binary, commutative or associative. On Q, define a ∗ b = ab + 1

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Answer:e.g., (1*2)*3 = 1*(2*3) , where 1,2,3∈ Q therefore, * is associative. (iv) It is given that on Z⁺, define a ∗ b = 2^ab ·

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