If the term without x in the expansion of (x^(2/3)+(α)/(x³))²² is 7315, then |α| is equal to _ _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 1 Feb, Evening shift · Q26

JEE Main 20231 Feb, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the term without

x

in the expansion of

\left(x^{\frac{2}{3}}+\frac{\alpha}{x^{3}}\right)^{22}

is 7315 , then

|\alpha|

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.