A ratio of the 5th term from the beginning to the , 5th term from the end in the binomial expansion of 

${\left(2^{1/3}+\frac{1}{2(3{)}^{1/3}}\right)}^{10}$is

In the expansion ${\left(2^{1/3}+\frac{1}{2(3{)}^{1/3}}\right)}^{10}$the ratio of 5th term from the beginning to the 5th term from the end

$$\begin{gathered} =\frac{{ }^{10}{C}_4{\left(2^{1/3}\right)}^{10-4}{\left(\frac{1}{2(3{)}^{1/3}}\right)}^4}{{ }^{10}{C}_4{\left(\frac{1}{2(3{)}^{1/3}}\right)}^{10-4}{\left(2^{1/3}\right)}^4} \\ \Rightarrow \mathrm{Ratio}={\left(2^{1/3}\right)}^2{\left(2(3{)}^{1/3}\right)}^2 \\ \Rightarrow \mathrm{Ratio}=\frac{4\cdot (36{)}^{1/3}}{1} \end{gathered}$$