Use De Moivre's theorem to simplify the expression. Write the answer in the form a bi $.$

$[\sqrt[\phantom{2}]{2}(cos(\frac{5}{3})isin(\frac{5}{3})){]}^8$

$[\sqrt[\phantom{2}]{2}(cos(\frac{5}{3})isin(\frac{5}{3})){]}^8=$

$($Type your answer in the form $abi.$ Type an exact answer, using radicals as needed.$)$