Simplify the Radical Expression x^(2/5)*x^(1/5)

$x^{\frac{2}{5}} \cdot x^{\frac{1}{5}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{\frac{2}{5} + \frac{1}{5}}$

Combine the numerators over the common denominator.

$x^{\frac{2 + 1}{5}}$

Add $2$ and $1$ .

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