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2 votes
How do u solve for x?
X^-1/2 = 5

User Ovgolovin
by
8.3k points

1 Answer

3 votes

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

__

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.

<95141404393>

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