Write with Rational (Fractional) Exponents ( square root of 11^5)/( fourth root of 11^3)

$\frac{\sqrt{11^{5}}}{\sqrt[4]{11^{3}}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{11^{5}}$ as $11^{\frac{5}{2}}$ .

$\frac{11^{\frac{5}{2}}}{\sqrt[4]{11^{3}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{11^{3}}$ as $11^{\frac{3}{4}}$ .

$\frac{11^{\frac{5}{2}}}{11^{\frac{3}{4}}}$