Question

Aratati ca nr. n=27^9x32^11:2-16^6x2x6^27 este patrat perfect

Answer 1

 n=27^9×32^11:2-16^6×2×6^27=
=3^27×2^55:2-2^24×2×2^27×3^27=
=3^27×2^54-2^52×3^27=
=3^27×2^52(2^2-1)=
=3^27×2^52×3=
=3^28×2^52=
=(3^14×2^26)^2 =  deci patrat perfect