Interesting to try 140.something is what I'm guessing.
Edit: Ah wait cube root. That is the square root I just tried.
26.something is what my mental calculations gave me. I thought it was going to be 27. Turns out it is. I made an error somewhere which is why you gotta do this on paper.
As for method I kind of brie brute forced it. started with 100 cubed which is hundred thousand then 20 cubed which is 8000 then 30 cubed which is 3 cubed times 10 cubed which is 27k. 25 cubed which I don't remember but was less then, then I knew it could not be 26 because the number is not even. I'd deal with fractions later. so I tried 27 cubed. 27 cubed is 3^3^3=2733^5=8133^4=24333^3= 72927=72920+7297
72920=72902=14400+180=14580
7297=4900+140+63=5103
Add them and 19683 comes out
Now try that in your head and it's a good recipe for frying one's brain.
Edit: Ah wait cube root. That is the square root I just tried.
26.something is what my mental calculations gave me. I thought it was going to be 27. Turns out it is. I made an error somewhere which is why you gotta do this on paper.
As for method I kind of brie brute forced it. started with 100 cubed which is hundred thousand then 20 cubed which is 8000 then 30 cubed which is 3 cubed times 10 cubed which is 27k. 25 cubed which I don't remember but was less then, then I knew it could not be 26 because the number is not even. I'd deal with fractions later. so I tried 27 cubed. 27 cubed is 3^3^3=2733^5=8133^4=24333^3= 72927=72920+7297 72920=72902=14400+180=14580 7297=4900+140+63=5103 Add them and 19683 comes out
Now try that in your head and it's a good recipe for frying one's brain.