Algebra Examples

$16 = x^{4}$

Step 1

Rewrite the equation as $x^{4} = 16$ .

$x^{4} = 16$

Step 2

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

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

$x = \pm 2$

Step 4

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

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Step 4.1

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

$x = 2$

Step 4.2

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

$x = - 2$

Step 4.3

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

$x = 2, - 2$