a) Ta có: \(\dfrac{\sqrt{63y^3}}{\sqrt{7y}}=\sqrt{\dfrac{63y^3}{7y}}=\sqrt{9y^2}=\sqrt{\left(3y\right)^2}=\left|3y\right|\)
Vì y>0 nên ta có: \(\left|3y\right|=3y\)
b) Ta có: \(\dfrac{\sqrt{16x^4y^6}}{\sqrt{128x^6y^6}}=\sqrt{\dfrac{16x^4y^6}{128x^6y^6}}=\sqrt{\dfrac{1}{8x^2}}=\sqrt{\left(\dfrac{1}{2\sqrt{2}x}\right)^2}=\left|\dfrac{1}{2\sqrt{2}x}\right|\)
Vì x<0 và \(y\ne0\) nên ta có: \(\left|\dfrac{1}{2\sqrt{2}x}\right|=-\dfrac{1}{2\sqrt{2}x}\)