Binomial Theorem and Its Simple Applications: JEE Main 2020 Mathematics question

Let $\alpha$ > 0, $\beta$ > 0 be such that $\alpha$³ + $\beta$² = 4. If the maximum value of the term independent of x in the binomial expansion of ${\left( {\alpha {x^{{1 \over 9}}} + \beta {x^{ - {1 \over 6}}}} \right)^{10}}$ is 10k, then k is equal to :