Precalculus Examples

$z^{5} = 32$

Step 1

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

$z = \sqrt[5]{32}$

Step 2

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

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Step 2.1

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

$z = \sqrt[5]{2^{5}}$

Step 2.2

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

$z = 2$