Write with Rational (Fractional) Exponents ( cube root of y^5)/( sixth root of y^5)

$\frac{\sqrt[3]{y^{5}}}{\sqrt[6]{y^{5}}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{y^{5}}$ as $y^{\frac{5}{3}}$ .

$\frac{y^{\frac{5}{3}}}{\sqrt[6]{y^{5}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{y^{5}}$ as $y^{\frac{5}{6}}$ .

$\frac{y^{\frac{5}{3}}}{y^{\frac{5}{6}}}$