If in the expansion of `((3)/(r^(2))+kx^(3))^(5)` ,the coefficient of the term independent of `x` is `1080` ,then value of k

Consider the expansion (x^(2)+(1)/(x))^(15) . What is the ratio of coefficient of x^(15) to term independent of x in the given expansion ?

The binomial expansion of (x^(k)+(1)/(x^(2k)))^(3n), n in N contains a term independent of x

Let the coefficients of third, fuurth and fifth terms in the expansion of (x+(a)/(x^(2)))^(n), x ne 0 be in the ratio 12:8:3. Then the term independent of x in the expansion, is equal to _______.

Which term in the expansion of (x^(3)-(3)/(x^(2)))^(15) is independent of x ?

Sum of the binomial coefficients in the expansion of ((2x)/(3)+(3)/(2nx^(2)))^(n) is equal to 64. The term independent of x is

The sum of the binomial coefficients in the expansion of (x^(-(3)/(4))+ax^((5)/(4)))^(n) lies between 200 and 400 and the term independent of x equals 448. The value of a is :-

If the expansion (x^(3)+(1)/(x^(2)))^(n) contains a term independent of x, then the value of n, can be __________