Simplify (r^(2/5)s)^5

${(r^{\frac{2}{5}} s)}^{5}$

Apply the product rule to $r^{\frac{2}{5}} s$ .

${(r^{\frac{2}{5}})}^{5} s^{5}$

Multiply the exponents in ${(r^{\frac{2}{5}})}^{5}$ .

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

$r^{\frac{2}{5} \cdot 5} s^{5}$

Cancel the common factor of $5$ .

Cancel the common factor.

$r^{\frac{2}{5} \cdot 5} s^{5}$

Rewrite the expression.

$r^{2} s^{5}$