# SOLUTION: Replace each of the variables a, b, and c with a different digit selected from the set {2, 3, 5, 6, 8}. What is the greatest possible value of the expression {{{a^b+c}}} that is le

Algebra ->  Algebra  -> Exponents -> SOLUTION: Replace each of the variables a, b, and c with a different digit selected from the set {2, 3, 5, 6, 8}. What is the greatest possible value of the expression {{{a^b+c}}} that is le      Log On

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 Algebra: Exponents and operations on exponents Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Exponents Question 334005: Replace each of the variables a, b, and c with a different digit selected from the set {2, 3, 5, 6, 8}. What is the greatest possible value of the expression that is less than 100?Answer by Edwin McCravy(8908)   (Show Source): You can put this solution on YOUR website!``` The answer could not use or any power of 3, 5, 6, or 8 higher than the power 2, since that would result in a value over 100 even before adding c. So the value of the first term could at most be one of these , , , , or So the most we could get for is 64. So the answer is between using and . However if we used for the 64, the largest number 8 would not be available for c to add to it, whereas if we use , we can add the largest number 8 to that. Thus the answer is: Edwin```