Question

How do you solve `x^(-1/2)=5`?

Answer 1

`x=1/25`

Explanation:

Raise `x^(-1/2)` to `-2` to cancel out the exponents.

`[1]color(white)(XX)x^(-1/2)=5`

`[2]color(white)(XX)(x^(-1/2))^-2=(5)^-2`

`[3]color(white)(XX)x=(5)^-2`

`[3]color(white)(XX)x=(1/5)^2`

`[4]color(white)(XX)color(red)(x=1/25)`