Write with Rational (Fractional) Exponents fourth root of 10^5* cube root of 10

$\sqrt[4]{10^{5}} \cdot \sqrt[3]{10}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{10^{5}}$ as $10^{\frac{5}{4}}$ .

$10^{\frac{5}{4}} \cdot \sqrt[3]{10}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{10}$ as $10^{\frac{1}{3}}$ .

$10^{\frac{5}{4}} \cdot 10^{\frac{1}{3}}$