(6^3n)^3 = (36^9n)^4 where n does not equal 0 please help

36^9 = (6^2)^9 = 6^18

(6^3n)^3 = (36^9n)^4
6^27n^3 = 6^72n^4
n = 6^27/6^72 = 6 ^-45

from Anonymous:

36^9 = (6^2)^9 = 6^18 <---- what happened to the n? should be
6^(18n)

(6^3n)^3 = (36^9n)^4
6^27n^3 = 6^72n^4
n = 6^27/6^72 = 6 ^-45

6^(18n) = (36^9n)^4
6^(18n) = (6^(18n))^4
6^(18n) = 6^(72n)
so 18n = 72n
Only true if n = 0, but you said n≠0, so there is no solution.

I did this yesterday, did you have a typo??