One of the HARDEST question | Which number is larger | Matescium

[@PygmalionFaciebat]

If the solution is correct, than i was also wrong. My approach to solve it, was totally different. I simplified it to lower numbers. For instance 3^2 against 2^3 ... First number equals 9 , second number equals 8. So the first number is higher. I made it also with other numbers in my head ... like 2^1 against 1^2 ... Again: first number equals 2 ... second number equals 1. I simply transfered this to 100^99 vs 99^100 , and thought its safe enough to say: therefore 100^99 is higher than 99^100 . Sure, i could have go further... and recognize the fault - because 4^3 is lower than 3^4 ... But i was just lazy, to do that. Meaning: i can calculate the right answer. The point is : is it worth my time ? If i need it exact - i will calculate it correct. If its just a curiosity for a youtube-video, i spend only a little time on it, and therefore the risk is much higher to fail.

[@Matescium]

Thanks for your constructive criticism! To reply to your comments, yes your method is suitable for determining exponential numbers with a lower exponent. But if there are larger numbers on the exponent such as 100^99, in that case you can't determine easily. Even if you use a calculator, would you please comment here what the results of 100^99 using your calculator? If you use your calculator, you will get the answer why you need to calculate it! Thanks for your comments.

[@PygmalionFaciebat]

@@Matescium I didnt used a calculator. I didnt even used a paper. I was just using my brain, my intuition ... thats why i broke down the numbers -- like 3^2 against 2^3 ... I thought if that principle says that the first number is higher, than its also have to be true for bigger numbers. I was wrong. I could have gone the easy way, and use the calculator and look smart in the comment section and saying ''i solved it, it was easy..of course 99^100 is bigger'' ... But i am a honest person. And i admit when i am wrong, and i explain why i am wrong. But overall, its not an important math question. I myself thought out math questions no one yet knows an answer to it (me included). Those math questions are much more important, in my opinion. If you are interested, i can tell you the riddle.

[@Jivvi]

​@@PygmalionFaciebat I'm pretty sure that is almost always false, with the only exceptions being (2,3) and any pair where one of the numbers is 1. There's also (2,4) where the two results are the same, but otherwise you always get a higher total by putting the smaller number first.

[@PygmalionFaciebat]

@@Jivvi I didnt considered 2,4 ... only numbers with only 1 difference, because in the original riddle its also only 1 difference in the numbers.

[@Jivvi]

@@PygmalionFaciebat yeah, fair enough. It's worth looking at a few more to see if there's a pattern though, and with a 1 it doesn't really work, because 1 to any power is always 1. Looking at (2,3); (3,4); and (4,5) is a good starting point. The difference flips from negative to positive, and then gets bigger.

[@triggergaming7115]

Easy question

[@PygmalionFaciebat]

Some people just love to selfcompliment , and show that selfcompliment to be seen from as much people as possible. I am always surprised how much narcissists are on this planet.

[@ashikbillah250]

I'm first ❤❤