Помогите решить: 3^146__________________(1/6)^75*54^72

Решите задачу:

$\frac{3^{146}}{( \frac{1}{6})^{75}*54^{72} } = \frac{3^{146}}{ \frac{1}{6^{75}} *(2*3^3)^{72}} = \frac{3^{146}}{ \frac{1}{(2*3)^{75}}*2^{72}*(3^3)^{72}} = \frac{3^{146}}{ \frac{1}{2^{75}*3^{75}} *2^{72}*3^{216}} =$
$= \frac{3^{146}}{ \frac{1}{2^3}*3^{141} } = \frac{3^5}{ \frac{1}{2^3} } = \frac{3^5*2^3}{1} =243*8=1944.$