Question

What is `(x^(-1/2))^-4`?

Answer 1

`=x^2`

Explanation:

`color(blue)((x^(-1/2))^-4`

Use the exponent rule `color(brown)((x^n)^m=x^(nm)`

`:.(x^(-1/2))^-4=x^(-1/2*-4)=x^(4/2)=color(green)(x^2`