Rewrite an expression in a specific form

Mar 2016
I have an expression that looks as follows: n + (a*x+b)^c.
Where 'a', 'b', 'n', and 'c' are constant numbers. The ranges of the parameters are:
n = [0,0.2]
a = [0.5,1.5]
b = [-0.5,0.5]
c = [0.5,1.5]
x = [0,0.6]
I would like rewrite this expression such that it will look as follows: (m*x+n)^k. The final expression can be an approximation of the first expression.