Write with Rational (Fractional) Exponents ( cube root of y)^14

${(\sqrt[3]{y})}^{14}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{y}$ as $y^{\frac{1}{3}}$ .

${(y^{\frac{1}{3}})}^{14}$

Step 2

Multiply the exponents in ${(y^{\frac{1}{3}})}^{14}$ .

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

$y^{\frac{1}{3} \cdot 14}$

Combine $\frac{1}{3}$ and $14$ .

$y^{\frac{14}{3}}$