## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Using the definition of rational exponents which is given by $a^{\frac{m}{n}}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the expression, $x^{2/5} ,$ above is equivalent to $\sqrt[5]{x^2}=\left( \sqrt[5]{x} \right)^2 .$ Hence, the given statement is $\text{ TRUE .}$