Problem
8> $\frac{\sqrt{a^{3} b^{2}}}{6 a^{3}} \times \frac{3 a^{5} b}{\left(a^{3} b^{2}\right)^{2}} \div \frac{a b}{\sqrt{a^{3} b^{2}}}$
Solution
Step 1 ：Combine the fractions and simplify the exponents: $\frac{\sqrt{a^{3} b^{2}}}{6 a^{3}} \times \frac{3 a^{5} b}{\left(a^{3} b^{2}\right)^{2}} \div \frac{a b}{\sqrt{a^{3} b^{2}}}$
Step 2 ：Simplify the expression: $\boxed{\frac{1}{2a^{3}b^{2}}}$
