(2^1/2*4^5/4)/9^2/3*3^2/3)

Question

(2^1/2*4^5/4)/9^2/3*3^2/3)

Answer 1

(2^1/2 * 2^10/4) / 3^4/3 * 3^2/3=
2^(1/2+10/4)  / 3^(4/3+2/3)=
2^12/4 / 3^6/3 =
2^3 / 3^2=
8/9