Respuesta :

Answer:

  • D. [tex]x^{-3/2}[/tex]

Step-by-step explanation:

Given function:

  • [tex]f(x) = \frac{1}{x\sqrt{x} }[/tex]

Equivalent expression is:

  • [tex]\frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}[/tex]

Correct choice is D