same question, but it didn't come across right.

500 equals 1 over X to the half

500 = 1/(X^1/2)
Multiply both sides by X^1/2.
500*X^1/2 = (1*X^1/2)/X^1/2.
X^1/2 divides out on the right side leaving
500*X^1/2 = 1.
Now square both sides.
[500*X^1/2]^2 = 1.
250*10^3*X = 1
Then solve for X. I will let you take it from here. I hope this helps.

To solve the equation 500 = 1/(X^1/2), you can follow these steps:

1. Multiply both sides of the equation by X^1/2 to eliminate the root:
500 * X^1/2 = (1 * X^1/2) / X^1/2

2. Simplify the right side of the equation:
500 * X^1/2 = 1

3. Square both sides of the equation:
[500 * X^1/2]^2 = 1

4. Simplify the left side of the equation by squaring the term inside the bracket:
(500^2) * (X^1/2)^2 = 1

5. Simplify the equation further:
250000 * X = 1

6. Solve for X by dividing both sides of the equation by 250000:
X = 1 / 250000

Therefore, the value of X that satisfies the equation 500 = 1/(X^1/2) is X = 1/250000.