Find the term independent o f x in the expansion of the following expressions: `(1/2 x^(1/3)+x^(-1/5))^8` and `(3/2x^2-1/(3x))^9`

Explanation

` (frac{1}{2} x^{1 / 3}+x^{-1 / 5})^{8} `


`T_{r+1}=\ ^{8} C_{r}(frac{1}{2} x^{1 / 3})^{8-r}(x^{-1 / 5})^{r} `


`=\ ^{8} C_{r cdot} frac{1}{2^{8-r}} x^{frac{8 r}{3}}-frac{r}{5}`


term to be independent of `x`, we must have

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