[tex]n=27^9*32^{11}:2-16^6*2*6^{27}\\
n=(3^3)^9*(2^5)^{11}:2-(2^4)^6*2*(3*2)^{27}\\
n=3^{27}*2^{55}:2-2^{24}*2*3^{27}*2^{27}\\
n=3^{27}*2^{54}-2^{52}*3^{27}\\
n=3^{27}*2^{52}(2^2-1)\\
n=3^{27}*2^{52}*3\\
n=3^{28}*2^{52}\\
n=(3^{14})^2*(2^{26})^2\\
n=(3^{14}*2^{26})^2=\ \textgreater \ n\ este\ patrat\ perfect[/tex]
