Question 257634: The values of a, b, c, and d are 0, 1, 2, and 3, although not necessarily in that order. What is the maximum value of the expression c⋅a^b – d ?
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website! The values of a, b, c, and d are 0, 1, 2, and 3, although not necessarily in that order. What is the maximum value of the expression c⋅a^b – d ?
We can't use 0 at all in the first term since the first
term would be 0 unless the exponent b was 0 and then the
most the first term could be would be 3, then we'd have
to take d away from that making the value even smaller.
Therefore d must be 0.
We can't use 1 as the exponent b or the base a, since
the most we could get would be 6. So 1 must be the
coefficient a and since  is greater than  .
So we must have
 , where a=3, b=2, c=1 and d=0.
The maximum is 9.
Edwin
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