Question

$\sqrt[3]{16ab^{12}} :\sqrt[3]{2a^{4}b^{9}} =???$

Answer 1

$\sqrt[3]{ {16ab}^{12} } \div \sqrt[3]{2 {a}^{4} {b}^{9} } = \sqrt[3]{ \frac{16a {b}^{12} }{2 {a}^{4} {b}^{9} } } = \sqrt[3]{ \frac{8 {b}^{3} }{ {a}^{3} } } = \frac{ \sqrt[3]{8 {b}^{3} } }{ \sqrt[3]{ {a}^{3} } } = \frac{2b}{a}$