Question 1192557
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            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^b + c^d}}}.



<pre>
If so, then I take a= 1 and b= 4.   It gives me the first addend equal to  {{{1^4}}} = 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^d}}}  as small as possible .



It gives me the smallest possible value for the second addend  {{{2^3}}} = 8.



So the smallest value for the expression is  {{{1^4 + 2^3}}} = 1 + 8 = 9.     <U>ANSWER</U>
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