Write with Rational (Fractional) Exponents ( fifth root of x)^6

${(\sqrt[5]{x})}^{6}$

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

${(x^{\frac{1}{5}})}^{6}$

Multiply the exponents in ${(x^{\frac{1}{5}})}^{6}$ .

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

$x^{\frac{1}{5} \cdot 6}$

Combine $\frac{1}{5}$ and $6$ .

$x^{\frac{6}{5}}$