Write with Rational (Fractional) Exponents (14 root of 2)/( seventh root of 2)

$\frac{\sqrt[14]{2}}{\sqrt[7]{2}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[14]{2}$ as $2^{\frac{1}{14}}$ .

$\frac{2^{\frac{1}{14}}}{\sqrt[7]{2}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[7]{2}$ as $2^{\frac{1}{7}}$ .

$\frac{2^{\frac{1}{14}}}{2^{\frac{1}{7}}}$