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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

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