(1) $\sqrt[3]{a^{5} \sqrt{b^{2}}} \div \sqrt[3]{a^{2} b}$

Step 1 ：Rewrite the expression using exponent rules: \(\frac{a^{\frac{5}{3}} b^{\frac{1}{3}}}{a^{\frac{2}{3}} b^{\frac{1}{3}}}\)

Step 2 ：Simplify the expression: \(\boxed{a^{\frac{5}{3} - \frac{2}{3}}}\)