[tex]x=(9^3)^2:3^{10}-3^{2^3} :3^6=\\\\
=9^{3\times2}:3^{10}-3^{8}:3^6=\\\\
=9^6:3^{10}-3^{8}:3^6=\\\\
=(3^2)^6:3^{10}-3^{8}:3^6=\\\\
=3^{2\times6}:3^{10}-3^{8}:3^6=\\\\
=3^{12}:3^{10}-3^{8}:3^6=\\\\
=3^{12-10}-3^{8-6}=3^2-3^2=9-9=\boxed{0}\\\\\\
y=3^2\times3^4-(3^2)^4:3^2+3^0-0^3=\\\\
=3^{2+4}-3^{2\times4}:3^2+3^0-0^3=\\\\
=3^6-3^8:3^2+3^0-0^3=\\\\
=3^6-3^{8-2}+3^0-0^3=\\\\
=3^6-3^6+3^0-0^3=0+1-0 =\boxed{1}\\\\\\
x+y=0+1=\boxed{1}[/tex]
[tex]x-y = 0-1 = \boxed{-1} \\ x^y = 0^1 = \boxed{0} \\ x \cdot y = 0 \cdot 1 = \boxed{0} [/tex]
