1.
Let α>0,β>0\alpha > 0, \beta > 0 be such that α3+β3=4\alpha^{3} + \beta^{3} = 4. If the maximum value of the term independent of xx in the binomial expansion of (αx1/3+βx1/3)10\left(\alpha x^{1/3} + \beta x^{-1/3}\right)^{10} is 10k10k, then kk is equal to