Basic Math Examples

${(- 8)}^{2} \div 8 - 12 \cdot \sqrt[3]{8}$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{{(- 8)}^{2}}{8} - 12 \cdot \sqrt[3]{8}$

Step 1.2

Cancel the common factor of ${(- 8)}^{2}$ and $8$ .

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Step 1.2.1

Rewrite $- 8$ as $- 1 (8)$ .

$\frac{{(- 1 (8))}^{2}}{8} - 12 \cdot \sqrt[3]{8}$

Step 1.2.2

Apply the product rule to $- 1 (8)$ .

$\frac{{(- 1)}^{2} \cdot 8^{2}}{8} - 12 \cdot \sqrt[3]{8}$

Step 1.2.3

Raise $- 1$ to the power of $2$ .

$\frac{1 \cdot 8^{2}}{8} - 12 \cdot \sqrt[3]{8}$

Step 1.2.4

Multiply $8^{2}$ by $1$ .

$\frac{8^{2}}{8} - 12 \cdot \sqrt[3]{8}$

Step 1.2.5

Factor $8$ out of $8^{2}$ .

$\frac{8 \cdot 8}{8} - 12 \cdot \sqrt[3]{8}$

Step 1.2.6

Cancel the common factors.

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Step 1.2.6.1

Factor $8$ out of $8$ .

$\frac{8 \cdot 8}{8 (1)} - 12 \cdot \sqrt[3]{8}$

Step 1.2.6.2

Cancel the common factor.

$\frac{8 \cdot 8}{8 \cdot 1} - 12 \cdot \sqrt[3]{8}$

Step 1.2.6.3

Rewrite the expression.

$\frac{8}{1} - 12 \cdot \sqrt[3]{8}$

Step 1.2.6.4

Divide $8$ by $1$ .

$8 - 12 \cdot \sqrt[3]{8}$

Step 1.3

Rewrite $8$ as $2^{3}$ .

$8 - 12 \cdot \sqrt[3]{2^{3}}$

Step 1.4

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

$8 - 12 \cdot 2$

Step 1.5

Multiply $- 12$ by $2$ .

$8 - 24$

Step 2

Subtract $24$ from $8$ .

$- 16$