Pre-Algebra Examples

$\frac{\sqrt[3]{- 84}}{8}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $- 84$ as ${(- 1)}^{3} \cdot 84$ .

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Step 1.1.1

Rewrite $- 84$ as $- 1 (84)$ .

$\frac{\sqrt[3]{- 1 (84)}}{8}$

Step 1.1.2

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

$\frac{\sqrt[3]{{(- 1)}^{3} \cdot 84}}{8}$

$\frac{\sqrt[3]{{(- 1)}^{3} \cdot 84}}{8}$

Step 1.2

Pull terms out from under the radical.

$\frac{- 1 \sqrt[3]{84}}{8}$

Step 1.3

Rewrite $- 1 \sqrt[3]{84}$ as $- \sqrt[3]{84}$ .

$\frac{- \sqrt[3]{84}}{8}$

$\frac{- \sqrt[3]{84}}{8}$

Step 2

Move the negative in front of the fraction.

$- \frac{\sqrt[3]{84}}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt[3]{84}}{8}$

Decimal Form:

$- 0.54743989 \dots$

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