Solve for x x^4=16i

$x^{4} = 16 i$

Take the 4th root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt[4]{16 i}$

Simplify $\pm \sqrt[4]{16 i}$ .

Rewrite $16$ as $2^{4}$ .

$x = \pm \sqrt[4]{2^{4} i}$

Pull terms out from under the radical.

$x = \pm 2 \sqrt[4]{i}$

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.

$x = 2 \sqrt[4]{i}$

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

$x = - 2 \sqrt[4]{i}$

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

$x = 2 \sqrt[4]{i}, - 2 \sqrt[4]{i}$