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 ${\left(\alpha {x}^{1/9}+\beta {x}^{-1/6}\right)}^{10}$is 10 k , then k is equal to:

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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 ${\left(\alpha {x}^{1/9}+\beta {x}^{-1/6}\right)}^{10}$is 10 k , then k is equal to:

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Let \(\alpha >0,\beta >0\) be such that \({\alpha }^{3}+{\beta }^{2}=4\) . If the maximum value of the term independent …

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