[tex]\{[2^5+4^2\times (2\times 5^2-7^2)^3]:2^4-2011^0\}^5= \\
=\{[32+16\times (2\times 25-49)^3]:16-1\}^5= \\
=\{[32+16\times (50-49)^3]:16-1\}^5= \\ =\{[32+16\times 1^3]:16-1\}^5= \\
=\{[32+16\times 1]:16-1\}^5= \\ =\{[32+16]:16-1\}^5= \\ =\{48:16-1\}^5= \\
=\{3-1\}^5= 2^5 = \boxed{32}[/tex]