Explicație pas cu pas:
a=26^2016+2×26^1×26^2016+26^2×26^2016=(1+2×26+26^2)×2^2016=(1+26)^2 × [26^1008]^2 = [27×26^1 008]^2
deci a este patrat perfect
a=[3^3×26^(3×336)]^2 =[3^2 ×26^(2×336)]^3
deci a este si cub perfect
a=3^6×(2×13)^2×3×336=3^2×3^4×2^2016×(13^2)^1008=3^2×81×2^2016×169^1008
32^402=(2^5)^402=2^2010
b=a:[81×2^2010×169^1004]=3^2×2^6×169^4
care evident este natural
