Given that the term of the expansion `(x^(1//3)-x^(-1//2))^(15)` which does not contain x is 5m where `m in N`, then m equals

Given that the term of the expansion (x^((1)/(3))-x^(-(1)/(2)))^((1)/(5)) which does not contain x is 5m where m in N then m=

If x^m occurs in the expansion of (x+(1/x^2))^(2n) then the coefficient of x^m is

In the expansion of (1+x)^(2m)(x/(1-x))^(-2m) the term independent of x is

If the expansion (x^(2)+(1)/(x^(3)))^(n) is to contain and independent term, then what should be the vlaue of m ?

If the third term in the expansion of (1+x)^(m)is-(1)/(8)x^(2), then find the value of m.

If the constant term in the binomial expansion of (x^(2)-(1)/(x))^(n),n in N is 15, then the value of n is equal to.

The sum of the coefficients of the first three terms of the expansion (x-3/x^2)^m, x ne 0 , m being a natural number, is 559. Find the term in the expansion containing x^3 .

Find the sum of the coefficients of the first, second,and third terms of the expansion of (x^(2)+(1)/(x))^(m) is 46, then find the coefficient of the term that does not contain x.

If the coefficients of x^-2 and x^-4 the expansion of (x^(1/3) +1/(2x^(1/3)))^18 , are m and n respectively, then m/n is equal to