The correct option is (A) [tex] 8^{ \frac{8}{3} } [/tex]
Explanation:
Given expression:
[tex](8^{ \frac{2}{3} })^4[/tex]
[tex](8^{ \frac{2*4}{3} }) \\ 8^{ \frac{8}{3} }[/tex]
Which is (Option A)
[tex] 8^{ \frac{8}{3} } [/tex] = 256 = [tex](8^{ \frac{2}{3} })^4[/tex] (Check)