If (3^6/4^4)k is the term, independent of x, in the binomial expansion of

Question

If \(\left(\cfrac{3^6}{4^4}\right)\)K is the term, independent of x, in the binomial expansion of \(\left(\cfrac{x}{4}-\cfrac{12}{x^2}\right)^{12}\) , then k is equal to _________.

Answer 1

\(\left(\cfrac{x}{4}-\cfrac{12}{x^2}\right)^{12}\)