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Your problem is introduced on the initial RU-vid screen (URL: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-4ddfJum6l9o.html), as (2/5)^2/5, NOT as (5/2)^2/5. You need to correct this. Incidentally, using a spreadsheet, one can quickly calculate that the fifth root of 200, divided by 2, i.e. (200^1/5)/2 = 1.4427 (to 4 dp)
This is not a trick its more of an hindrance. If calculator is not allowed then only option is use Taylor expansion to get an approximation. e.g. express 25/4 = 32*(1-x)/(1+x) . here x=103/153. (25/4) ^(1/5) is approximated 2*(- (18*x^3)/125 + (2*x^2)/25 - (2*x)/5 + 1) ~ 1.4461. Even this method is tedious. Better option is use calculator or any mobile phone to compute (25/4)^(1/5)
