Japanese | A Nice Math Olympiad Power Division Problem

[@RyanLewis-Johnson-wq6xs]

(40^80)/(80^40)=10995116277760000000000000000000000000000000000000000=20^40 It’s in my head.

[@himo3485]

40^80/40^40 * 2^40 = 40^40 /2^40 = (40/2)^40 = 2^40

[@williamBryan-k2e]

this is how I did it
( 8 * 5 ) ^80
---------------
( 2 * 8 * 5 ) ^40
( 8 * 5 ) ^40
------------
2 ^ 40
( 4 * 5 ) ^40
20^40

[@lakshmikutty2255]

40^80/80^40
40^80/(40×2)^40
40^40/2^40 =(20×2) ^40/2^40
Answer =20^40

[@ioannisimansola7115]

Nothing bright , level of 15 yo in hight school