Question

Which of the following is equivalent to x^-1/21) -1/2x 2) -√x3) 1/√x4) -1/2x

Answer 1

Answer:

Option (3) is correct.

Step-by-step explanation:

We need to find the expression that is equivalent to $x^{-1/2}$.

The property is : $x^{-a}=\dfrac{1}{x^a}$

Here, a = 1/2

So,

$x^{-1/2}=\dfrac{1}{x^{1/2}}$

We know that, $x^{1/2}=\sqrt{x}$

$\dfrac{1}{x^{1/2}}=\dfrac{1}{\sqrt{x} }$

So, $x^{-1/2}$ is equivalent to $\dfrac{1}{\sqrt{x} }$

Hence, the correct option is (3).