Hugs> 94535^445
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Java has the notion of "Primitive Data Types" (which are the types that the processor supports) and those are different from all other Classes.
In Haskell, Int is a type like all other types, and therefore it was easily made a member of the Num and Integral typeclasses used in (^) ("(^) :: (Num a, Integral b) => a -> b -> a"). Another member of those typeclasses is Integer, which supports integers of all sizes (as long as you have enough memory for their digits).
In Java, you can use many "Big Numbers" libraries, but the operations for them won't use the infix operators you are used to, because those are only for "Primitive Types" in Java.