Question 1209817
<pre>
There's that notation again that I have not completely figured out which is
not compatible with the HTML this site is written in.  Maybe this the correct
interpretation.  [If this was posted by a human, I would appreciate it if you
post again, to use standard notation.]

{{{matrix(8,1,
"",
P=3^(1/3)*9^(1/9)*27^(1/27)*81^(1/81),
P=3^(1/3)*(3^2)^(1/9)*(3^3)^(1/27)*(3^4)^(1/81),
P=3^(1/3)*3^(2/9)*3^(3/27)*3^(4/81),
P=3^(27/81)*3^(18/61)*3^(9/81)*3^(4/81),
P=3^(27/81+18/61+9/81+4/81),
P=3^(58/81),
P=root(81,3^58) )}}} 

a=81, b=3<sup>58</sup>.

So the smallest possible value of 81+3<sup>58</sup> = 4710128697246244834921603770

Edwin</pre>