descompunem in factori primi atat numitorul cat si numaratorul
144.144.144 = 2⁴ · 3³ · 333.667
256.256.256 = 2⁸ · 3 · 333.667
[tex]\bf \dfrac{2^{4}\cdot 3^{3}\cdot 333667}{2^{8}\cdot 3\cdot 333667}=[/tex]
[tex]\bf \dfrac{2^{4}\cdot 3^{3}\cdot\not 333667}{2^{8}\cdot 3\cdot \not333667}=[/tex]
[tex]\bf \dfrac{2^{4}\cdot 3^{3}}{2^{8}\cdot 3}=[/tex]
[tex]\bf \dfrac{3^{2}}{2^{4}}=[/tex]
[tex]\boxed{\bf \dfrac{9}{16} }[/tex]