Write with Rational (Fractional) Exponents (16 root of 5)/( eighth root of 5)

$\frac{\sqrt[16]{5}}{\sqrt[8]{5}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[16]{5}$ as $5^{\frac{1}{16}}$ .

$\frac{5^{\frac{1}{16}}}{\sqrt[8]{5}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[8]{5}$ as $5^{\frac{1}{8}}$ .

$\frac{5^{\frac{1}{16}}}{5^{\frac{1}{8}}}$