Simplify:



Notice that all the exponents are multiples
of 31.

Write the  power as 

and write the  power as 



Now write the  as 

and write the  as 



Now write the  as 
and write the  as 



Now since all factors are raised to the 31 power,

we can write the above as:



Then finally multiply the numbers in the
parentheses and you end up with



or



and you would just leave the answer like
that because that number written out
would have hundreds of digits.

Edwin