SOLUTION: The integers -3,-2,-1,0,1,2 and 3 are substituted into the expression a^b+c^d+e^f+g. What is the greatest possible value of the expression?

Question 814403: The integers -3,-2,-1,0,1,2 and 3 are substituted into the expression a^b+c^d+e^f+g. What is the greatest possible value of the expression?
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
The solution is a=-3,b=2,c=3,d=1,e=-2,f=-1,g=0.
This gives us (-3)^2 + 3^1 + (-2)^-1 + 0
= 9 + 3 +(1/-2) + 0
= 12 -1/2 + 0
= 11 1/2
(-3) is matched with 2 to give the maximum for the first pairing.
The remaining integers are -2,-1,0,1 and 3.
Next we want to maximize the next pair involving 3.
This gives us 3^1 .
The remaining integers are now -2,-1, and 0 .
Minimizing the impact of the negative numbers we have (-2)^-1
which reduces to -1/2.

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