Evaluate: ((3a^2b^2) * (6ab^3))/(9ab)

Expression: $\frac{ \left( 3{a}^{2}{b}^{2} \right) \times \left( 6a{b}^{3} \right) }{ 9ab }$

Remove unnecessary parentheses

$\frac{ 3{a}^{2}{b}^{2} \times \left( 6a{b}^{3} \right) }{ 9ab }$

Remove unnecessary parentheses

$\frac{ 3{a}^{2}{b}^{2} \times 6a{b}^{3} }{ 9ab }$

Cancel out the common factor $a$

$\frac{ 3{a}^{2}{b}^{2} \times 6{b}^{3} }{ 9b }$

Cancel out the common factor $b$

$\frac{ 3{a}^{2}b \times 6{b}^{3} }{ 9 }$

Cancel out the common factor $3$

$\frac{ {a}^{2}b \times 6{b}^{3} }{ 3 }$

Cancel out the common factor $3$

${a}^{2}b \times 2{b}^{3}$

Calculate the product

$2{a}^{2}{b}^{4}$