Precalculus Examples

$x^{2 - 4 + 40} = 0$

Step 1

Subtract $4$ from $2$ .

$x^{- 2 + 40} = 0$

Step 2

Add $- 2$ and $40$ .

$x^{38} = 0$

Step 3

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

$x = \pm \sqrt[38]{0}$

Step 4

Simplify $\pm \sqrt[38]{0}$ .

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Step 4.1

Rewrite $0$ as $0^{38}$ .

$x = \pm \sqrt[38]{0^{38}}$

Step 4.2

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

$x = \pm 0$

Step 4.3

Plus or minus $0$ is $0$ .

$x = 0$