General term in Binomial Expansion

The first three terms in the Binomial expansion of (x+y)^n are 1,56 and 1372 respectively . Find the value of x and y

The sum of the rational terms in the binomial expansion of (2^((1)/(2)) + 3^((1)/(5)))^(10) is :

The number of rational terms in the binomial expansion of (4^((1)/(4))+5^((1)/(6)))^(120) is _________ .

If the constant term, in binomial expansion of (2x^(r) + (1)/(x^(2)))^(10) is 180, then r is equal to ___________ .

Number of irrational terms in the binomial expansion of (3^(1//5) +7^(1//3) )^(100) is