Answer: \(x^{\frac{8}{15}}\)
Or x to the power of 8/15.
Step-by-step explanation:
Here, the given expression is,
\((x^{\frac{2}{3}})^{\frac{4}{5}}\)
\(=x^{\frac{2}{3}\times \frac{4}{5}}\) \(((a^m)^n=a^{m\times n})\)
\(=x^{\frac{8}{15}}\)
Which is the required simplified of the given expression.
