## Largest exponential

### Problem 99

Published on Friday, 1st July 2005, 06:00 pm; Solved by 19254; Difficulty rating: 10%Comparing two numbers written in index form like 2^{11} and 3^{7} is not difficult, as any calculator would confirm that 2^{11} = 2048 < 3^{7} = 2187.

However, confirming that 632382^{518061} > 519432^{525806} would be much more difficult, as both numbers contain over three million digits.

Using base_exp.txt (right click and 'Save Link/Target As...'), a 22K text file containing one thousand lines with a base/exponent pair on each line, determine which line number has the greatest numerical value.

NOTE: The first two lines in the file represent the numbers in the example given above.