Harvard Can't Solve This! | A Beautiful Math Challenge

In todays video, I will be teaching you how to solve an interesting problem. Make sure to like, subscribe, and also comment any questions or video ideas you may have relating to math!
#maths #exponents #mathematics #mathstricks #mathchallenge #algebra #equation #problem #challenge #Olympiad #MathOlympiad

[@Skank_and_Gutterboy]

Just rewrite the two expressions as powers of 2. Working down the pyramid:
2^2^2^2^2 = 2^2^2^4 = 2^2^16 = 2^256^2 = 2^65536.
4^4444 = 2^8888.
2^65536 is clearly greater than 2^8888, so 2^2^2^2^2 is the greater expression.

[@liamhoffen8529]

It seems to look more like 2^16 compared to 2^8888. Keep the common bases and simply compare exponents. In the example, you converted to a pure number, 65536, and compared that to the 8888 exponent. Not a fair comparison if my math is right.

[@liamhoffen8529]

2^m^n is 2^(mn).