Algebra Examples

$f (- 64) = \sqrt[3]{- 64 - 4}$

Step 1

Subtract $4$ from $- 64$ .

$f (- 64) = \sqrt[3]{- 68}$

Step 2

Rewrite $- 68$ as ${(- 1)}^{3} \cdot 68$ .

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Step 2.1

Rewrite $- 68$ as $- 1 (68)$ .

$f (- 64) = \sqrt[3]{- 1 \cdot 68}$

Step 2.2

Rewrite $- 1$ as ${(- 1)}^{3}$ .

$f (- 64) = \sqrt[3]{{(- 1)}^{3} \cdot 68}$

$f (- 64) = \sqrt[3]{{(- 1)}^{3} \cdot 68}$

Step 3

Pull terms out from under the radical.

$f (- 64) = - 1 \sqrt[3]{68}$

Step 4

Rewrite $- 1 \sqrt[3]{68}$ as $- \sqrt[3]{68}$ .

$f (- 64) = - \sqrt[3]{68}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$