Precalculus Examples

$32 = a^{5}$

Step 1

Rewrite the equation as $a^{5} = 32$ .

$a^{5} = 32$

Step 2

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

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

$a = 2$