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Binomial Theorem question

2023 · 31 Jan · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 31 Jan · Shift 1 · Q42

Binomial Theorem question

2023 · 31 Jan · Shift 1 · Q42

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

Let

\alpha\gt 0

, be the smallest number such that the expansion of

\left(x^{\frac{2}{3}}+\frac{2}{x^{3}}\right)^{30}

has a term

\beta x^{-\alpha}, \beta \in \mathbb{N}

. Then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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