Solve for x x^4=625

$x^{4} = 625$

Step 1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt[4]{625}$

Step 2

Simplify $\pm \sqrt[4]{625}$ .

Rewrite $625$ as $5^{4}$ .

$x = \pm \sqrt[4]{5^{4}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 5$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = 5$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 5$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 5, - 5$