Question

Which of the following is equivalent to f(x)?

Answer 1

Answer:

• D. $x^{-3/2}$

Step-by-step explanation:

Given function:

• $f(x) = \frac{1}{x\sqrt{x} }$

Equivalent expression is:

• $\frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}$

Correct choice is D