Answer
[tex]8x^{-2 }[/tex]
Step-by-step explanation:
[tex]2\sqrt{x} .4x^{-\frac{5}{2} } \\=2x^{\frac{1}{2} } .4x^{-\frac{5}{2} } \\=8x^{\frac{1}{2} -\frac{5}{2} } \\=8x^{-2 }[/tex]
∴k=8
n=-2