Solving a 'Stanford' University entrance exam

[@07Pietruszka1957]

{5/2}^(2/5) {25/4}^(1/5) {25/4*1}^(1/5) The main trick of the solution. To get the fifth power in the denominator we multiply by 1, i.e. 8/8. {25/4*(8/8)}^(1/5) | 4=2^2 8=2^3 4*8=2^2*2^3=2^(2+3)=2^5 {200/2^5}^(1/5) {200^(1/5)}/2

[@rosanella8]

Why do you multiply by 2? Do you mean that you multiply by (2/2)=1?

[@kmirs]

Thus he avoided having a root in the denominator.

[@malishstas]

тупейший пример....

[@pjska6199]

Omg you could have skipped from 2:30 directly to 6:40. My god you spent MORE than FOUR minutes just because you didnt move that fifth root of four directly over the fraction line. I pray you will quit your channel.

[@anatolijpachomenko8280]

Бездарный способ решения, результат достигается с меньшим количеством промежуточных вычислений. И зачем это выкладывать на всеобщее обозрение? Может быть автор поймет, что математика - не для него.

[@louisdeaux8620]

It's simply 2.5^0.4 or 1.442699905907