Pre-Algebra Examples

$\sqrt[3]{- \frac{216}{512}}$

Step 1

Cancel the common factor of $216$ and $512$ .

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Step 1.1

Factor $8$ out of $216$ .

$\sqrt[3]{- \frac{8 (27)}{512}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $8$ out of $512$ .

$\sqrt[3]{- \frac{8 \cdot 27}{8 \cdot 64}}$

Step 1.2.2

Cancel the common factor.

$\sqrt[3]{- \frac{8 \cdot 27}{8 \cdot 64}}$

Step 1.2.3

Rewrite the expression.

$\sqrt[3]{- \frac{27}{64}}$

Step 2

Rewrite $- \frac{27}{64}$ as ${(- \frac{3}{4})}^{3}$ .

$\sqrt[3]{{(- \frac{3}{4})}^{3}}$

Step 3

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

$- \frac{3}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{4}$

Decimal Form:

$- 0.75$