Precalculus Examples

$x^{5} - 32 i = 0$

Step 1

Add $32 i$ to both sides of the equation.

$x^{5} = 32 i$

Step 2

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

$x = \sqrt[5]{32 i}$

Step 3

Simplify $\sqrt[5]{32 i}$ .

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Step 3.1

Rewrite $32$ as $2^{5}$ .

$x = \sqrt[5]{2^{5} i}$

Step 3.2

Pull terms out from under the radical.

$x = 2 \sqrt[5]{i}$

Step 4