Precalculus Examples

$\sqrt[3]{e^{6}}$

Step 1

Rewrite $e^{6}$ as ${(e^{2})}^{3}$ .

$\sqrt[3]{{(e^{2})}^{3}}$

Step 2

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

$e^{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$e^{2}$

Decimal Form:

$7.38905609 \dots$