Answer:
[tex]x^{\frac{1}{3}}[/tex].
Step-by-step explanation:
We have been given an expression [tex](x^{\frac{2}{5}})^{\frac{5}{6}}[/tex]. We are asked to simplify our given expression.
Using Power Rule of exponents [tex](a^b)^c=a^{b\times c}[/tex], we can rewrite our expression as:
[tex]x^{\frac{2}{5}\times\frac{5}{6}}[/tex]
Upon simplifying our expression, we will get:
[tex]x^{\frac{10}{30}}[/tex]
[tex]x^{\frac{1}{3}}[/tex]
Therefore, the simplified form of our given expression would be [tex]x^{\frac{1}{3}}[/tex].
