Noooo, although that is the anawer, and that is the beauty of mathematics we must show the simplest and most effective way!!! Don’t get tangled up with so many turns!! The thing is that simple: (25/4)^(9/4) = ((5/2)^2)^(9/4)= (5/2)^(2*9/4) = (5/2)^(9/2) 9/2 = 4+1/2 then, (5/2)^(4+1/2) = (5/2)^(4)*(5/2)^(1/2)= (5^4)/(2^4)*(5/2)^(1/2) = (625/32)*((5/2)^(1/2) Now if you want to racionalize the denominator then: (625/16)* ((10)^(1/2)/2)= (625/32)*sqroot(10)