Answer:
x = 1/25
Explanation:
You want the solution to the equation x^(-1/2) = 5.
Undo
The variable x is raised to the power -1/2. To undo this operation, we can raise both sides of the equation to the power that is its inverse:
1/(-1/2) = -2
Now, we have ...
(x^(-1/2))^-2 = 5^-2 . . . . . both sides to power -2
x = 1/5^2
x = 1/25 . . . . the solution to the equation
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Additional comment
The relevant rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/(a^b)
The calculator screen shows this solution satisfies the equation. The attached graph shows the x-intercept of x^(-1/2) -5 = 0.
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