Rewrite the following in the form 𝐴⋅𝑏^t

Question

𝑓(𝑡)=50/23^t

𝑓(𝑡)=25 x 4^𝑡+2

Answer 1

50/23^t = 50(23^-t) = 50(1/23)^t

25x4^t + 2 = 25(4^(t+ 2)) = 25(4^t)(4^2) = 25(16)(4^t) = 400(4^t)

although it's possible you intended the problem as

(25x4^t)+2. IF so, then you really have a serious problem

Answer 2

f(t) = 50 / 23^t = 50(23)^-t = 50(1/23)^t

f(t) = 25(4)^t+2 = 25(4^t)(4²) = 400(4)^t