Find an power function of the form y=ab^x whose graph passes through the points (4,4) and (16,8).

Answer 1

4 = a b^4

8 = a b^16

dividing ... 2 = b^12 ... b = 2^(1/12)

substituting ... 2^2 = a 2^(1/3) ... a = 2^(5/3)