Answer:
[tex]x = \frac{4}{3} \: or \: 1 \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] {x}^{3} = \frac{64}{27} \\ \sqrt[3]{ {x}^{3} } = \sqrt[3]{ \frac{64}{27} } \\ x = \frac{4}{3} \: or \: 1 \frac{1}{3} [/tex]