Question

[(144^3:12^6+2^4+4^2):(2^5+1)]^2014

Answer 1

   [(144^3:12^6+2^4+4^2):(2^5+1)]^2014 = 
= {[(2^4x3^2)^3 : (2^2x3)^6 + 2^4 + (2^2)^2] : (2^5+1)}^2014 = 
= [(2^12x3^6 : 2^12x3^6 + 2^4 + 2^4) : (2^5+1)]^2014 =
= [(1+2x2^4) : (2^5+1)]^2014 =
= [(1+2^5) : (2^5+1)]^2014 = 
= 1^2014 =
= 1

Answer 2

((12²)³ :12^6 +2^4+ 4^2):(2^5+1))^2014=
(12^6:12^6 +2^4+4^2):(2^5+1))^2014=
((1+16+16):(32+1))^2014=
(33:33)^2014=
1^2014=1