## Algebra: A Combined Approach (4th Edition)

$\dfrac{8x^{2}}{y^{3}}\div\dfrac{4x^{2}y^{3}}{6}=\dfrac{12}{y^{6}}$
$\dfrac{8x^{2}}{y^{3}}\div\dfrac{4x^{2}y^{3}}{6}$ Divide the two rational expressions: $\dfrac{8x^{2}}{y^{3}}\div\dfrac{4x^{2}y^{3}}{6}=\dfrac{(8x^{2})(6)}{(4x^{2}y^{3})(y^{3})}=\dfrac{48x^{2}}{4x^{2}y^{6}}=...$ Simplify by removing repeated factors in the numerator and the denominator: $...=\dfrac{48}{4y^{6}}=\dfrac{12}{y^{6}}$