Answer:
The value of x is 4/3.
Step-by-step explanation:
The given equation is
[tex]x^3=\frac{64}{27}[/tex]
Taking cube root on both the sides.
[tex]x=\sqrt[3]{\frac{64}{27}}[/tex]
Using the property of radical expression, we get
[tex]x=\frac{\sqrt[3]{64}}{\sqrt[3]{27}}[/tex] [tex][\because \sqrt[3]{\frac{a}{b}}=\frac{\sqrt[3]{a}}{\sqrt[3]{b}}][/tex]
[tex]x=\frac{4}{3}[/tex]
Therefore the value of x is 4/3.
