(1 - ((5/3)^4·(3/5)^(-2)/(25/9)^2)^(-1))^10/(5/4)^(-6)/((4/5)^3)^5=
=(1 - (5^4/3^4·(5^2/3^2)/(5^4/3^4))^(-1))^10/(2^12/5^6)/(2^30/5^15)=
=(1 - (5^6/3^6/(5^4/3^4))^(-1))^10/(2^12/5^6)/(2^30/5^15)=
=(1 - (5^2/3^2)^(-1))^10/(2^12/5^6)/(2^30/5^15)=
=(1 - 3^2/5^2)^10/(2^12/5^6)/(2^30/5^15)=
=(2^4/5^2)^10/(2^12/5^6)/(2^30/5^15)=
=2^28/5^14/(2^30/5^15)=
=5/2^2 = 5/4