Write an exponential function in the form of y=ab^x that goes through points (0,16) and 4,256

Question

Write an exponential function in the form of y=ab^x that goes through points (0,16) and 4,256

Answer 1

16 = ab^0 = a

a =16

256 = 16b^4

b^4 = 256/16 = 16

b = 4th root of 16 = 2

y = 16(2^x)