Concept:Use the law of indices am+n=am⋅an to factor out the common power and cancel.Explanation:Simplify 2⋅3n3n+1−3n.Using the index rule, 3n+1=3⋅3n.So the expression becomes 2⋅3n3⋅3n−3n.Factor out 3n from the numerator: 2⋅3n3n(3−1).Since 3−1=2, the numerator becomes 2⋅3n.Cancel the common factor 2⋅3n.The simplified value is 1.Answer:Option C: 1.