Which expression is equivalent to ? Assume x > 0

Answer:
[tex]\frac{2\sqrt{2}}{x^3}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{8}{x^6} }[/tex]
Take square root for top and bottom separately
[tex]\frac{\sqrt{8} }{\sqrt{x^6} }[/tex]
square root (8) = [tex]\sqrt{4*2}=2\sqrt{2}[/tex]
[tex]\sqrt{x^6} =x^3[/tex]
[tex]\frac{\sqrt{8}}{\sqrt{x^6}}=\frac{2\sqrt{2}}{x^3}[/tex]
[tex]\frac{2\sqrt{2}}{x^3}[/tex]