Problem 63 (difficulty: 8/10)

Which one is the greater? \(\displaystyle 1000001^{1000000}\) or \(\displaystyle 1000000^{1000001}\).

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government