SOLUTION: What is the smallest possible answer to the expression, a° + c", if each of the integers 1, 2, 3, and 4 may only be used once? The expression in the question is a with exponen

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Question 1192557: What is the smallest possible answer to the expression, a° + c", if each of the integers 1, 2, 3, and 4
may only be used once? The expression in the question is
a with exponent b + c with exponent d
hope this helps.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


There are only 4*3*2*1=24 different ways to put the four integers in those four places; it won't take a whole lot of time to try every one of them.

Logically, it seems we would want the two largest of the integers to be in the same exponential expression.

4^3=64
3^4=81

3^4 is greater, so it seems the right answer must be 3^4+2^1=81+2=83.

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.


            As the post is worded,  it is  IMPOSSIBLE  to restore the  TRUE  correct expression based on your description.

            So,  I  only can assume that the expression is   a%5Eb+%2B+c%5Ed. 


If so, then I take a= 1 and b= 4.   It gives me the first addend equal to  1%5E4 = 1,
and the most unwanted number 4 is just utilized.



For the second addend, I take c= 2, d= 3 to have the value  c%5Ed  as small as possible .



It gives me the smallest possible value for the second addend  2%5E3 = 8.



So the smallest value for the expression is  1%5E4+%2B+2%5E3 = 1 + 8 = 9.     ANSWER


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