SOLUTION: (ac+b)^(a-b) In this expression a, b and c can be any positive integer greater than 1 and less than 5. What is the largest possible value for the expression? Answer given

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: (ac+b)^(a-b) In this expression a, b and c can be any positive integer greater than 1 and less than 5. What is the largest possible value for the expression? Answer given       Log On


   



Question 630438: (ac+b)^(a-b)
In this expression a, b and c can be any positive integer greater than 1 and less than 5.
What is the largest possible value for the expression?
Answer given is : 324.
I need steps.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
(ac+b)^(a-b)
You would like to "maximize" a and c (pick 4 for both)
And, you would like to "minimize" b (pick 2)
(ac+b)^(a-b)
(4*4+2)^(4-2)
(16+2)^(2)
(18)^(2)
324