Question

What expression is equivalent to

Answer 1

One way to approach this would be to express 125^2 as (125)(125).

Note also that 125^(4^3) = 125^(1 + 1/3) = (125)(5)

Therefore, the given expression boils down to   

(125)(125)       125
--------------- = ------- = 25
   5 (125)             5

There are other ways in which you could reduce the given expression.