Problem

8> $\frac{\sqrt{a^{3} b^{2}}}{6 a^{3}} \times \frac{3 a^{5} b}{\left(a^{3} b^{2}\right)^{2}} \div \frac{a b}{\sqrt{a^{3} b^{2}}}$

Answer

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Answer

Simplify the expression: $\boxed{\frac{1}{2a^{3}b^{2}}}$

Steps

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: $\boxed{\frac{1}{2a^{3}b^{2}}}$

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