a. For each part that follows, simplify and compare both expressions.
i. 4(3)2 and 122
ii. 42 ∙ 32 and 122
b. For each part that follows, build an input–output table that shows the same input values for both functions. Explain in terms of order of operations or exponential properties why the tables are the same or different.
i. f(x) = 4(3)x and g(x) = 12x
ii. f(x) = 4x ∙ 3x and g(x) = 12x