Calculus Examples

$z^{5} = - 1$

Step 1

Take the 5th root of both sides of the equation to eliminate the exponent on the left side.

$z = \sqrt[5]{- 1}$

Step 2

Simplify $\sqrt[5]{- 1}$ .

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Rewrite $- 1$ as ${(- 1)}^{5}$ .

$z = \sqrt[5]{{(- 1)}^{5}}$

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

$z = - 1$