How would I simplify (1000^1/3)^1000^33.333...? I know it's too large a number to write in decimal notation, but how can it be written as 1000^x or 1000^1000^x?
(2^6)^4 = 2^6 * 2^6 * 2^6 * 2^6 = 2^24
hence
(2^a)^b = 2^(ab)
do you get where I am going here?
(2^6)^4^7 = 2^24^7 = 2^(24*7) or just 2^(6*4*7)
Now you can answer your own question,
+118653 
