Simplify the Radical Expression (x^(2/3))^(5/2)

${(x^{\frac{2}{3}})}^{\frac{5}{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{2}{3} \cdot \frac{5}{2}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$x^{\frac{2}{3} \cdot \frac{5}{2}}$

Rewrite the expression.

$x^{\frac{1}{3} \cdot 5}$

Combine $\frac{1}{3}$ and $5$ .

$x^{\frac{5}{3}}$