Write with Rational (Fractional) Exponents ( seventh root of y)^19

${(\sqrt[7]{y})}^{19}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[7]{y}$ as $y^{\frac{1}{7}}$ .

${(y^{\frac{1}{7}})}^{19}$

Multiply the exponents in ${(y^{\frac{1}{7}})}^{19}$ .

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

$y^{\frac{1}{7} \cdot 19}$

Combine $\frac{1}{7}$ and $19$ .

$y^{\frac{19}{7}}$