Answer:
The answer is [tex]2x^{3}y^{-2}\sqrt{6}[/tex]
Step-by-step explanation:
∵ √24 = 2√6
∵ [tex]\sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}[/tex]
∵ [tex]\sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}[/tex]
∴ [tex]\sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}[/tex]
