Răspuns:
[tex]\bf a = 2\cdot 3^3\cdot 6^5[/tex]
[tex]\bf a = 2\cdot 3^3\cdot \Big(2\cdot3\Big)^5[/tex]
[tex]\bf a = 2\cdot 3^3\cdot2^5\cdot3^5[/tex]
[tex]\bf a = 2^1\cdot 3^3\cdot2^5\cdot3^5[/tex]
[tex]\bf a = 2^{1+5}\cdot 3^{3+5}[/tex]
[tex]\bf a = 2^{6}\cdot 3^{8}[/tex]
[tex]\bf a = 2^{3\cdot2}\cdot 3^{4\cdot2}[/tex]
[tex]\red{\boxed{\bf~a = \Big(2^{3}\cdot 3^{4}\Big)^{2}\implies patrat~ perfect~}}[/tex]
