Solve for x x^8=256

$x^{8} = 256$

Take the 8th root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt[8]{256}$

Simplify $\pm \sqrt[8]{256}$ .

Rewrite $256$ as $2^{8}$ .

$x = \pm \sqrt[8]{2^{8}}$

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

$x = \pm 2$

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.

$x = 2$

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

$x = - 2$

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

$x = 2, - 2$