Answer:
Option (3) is correct.
Step-by-step explanation:
We need to find the expression that is equivalent to [tex]x^{-1/2}[/tex].
The property is : [tex]x^{-a}=\dfrac{1}{x^a}[/tex]
Here, a = 1/2
So,
[tex]x^{-1/2}=\dfrac{1}{x^{1/2}}[/tex]
We know that, [tex]x^{1/2}=\sqrt{x}[/tex]
[tex]\dfrac{1}{x^{1/2}}=\dfrac{1}{\sqrt{x} }[/tex]
So, [tex]x^{-1/2}[/tex] is equivalent to [tex]\dfrac{1}{\sqrt{x} }[/tex]
Hence, the correct option is (3).
