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

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

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

$5^{\frac{5}{3}} \cdot \sqrt{5}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{5}$ as $5^{\frac{1}{2}}$ .

$5^{\frac{5}{3}} \cdot 5^{\frac{1}{2}}$