Write with Rational (Fractional) Exponents ( fifth root of 62)^3

${(\sqrt[5]{62})}^{3}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[5]{62}$ as $62^{\frac{1}{5}}$ .

${(62^{\frac{1}{5}})}^{3}$

Multiply the exponents in ${(62^{\frac{1}{5}})}^{3}$ .

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

$62^{\frac{1}{5} \cdot 3}$

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

$62^{\frac{3}{5}}$