Algebra Examples

$\frac{\sqrt[3]{16} \cdot \sqrt[3]{8}}{\sqrt[3]{2}}$

Step 1

Combine $\sqrt[3]{16}$ and $\sqrt[3]{2}$ into a single radical.

$\sqrt[3]{\frac{16}{2}} \cdot \sqrt[3]{8}$

Step 2

Simplify the expression.

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Step 2.1

Divide $16$ by $2$ .

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

Step 2.2

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

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

Step 3

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

$2 \cdot \sqrt[3]{8}$

Step 4

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

$2 \cdot \sqrt[3]{2^{3}}$

Step 5

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

$2 \cdot 2$

Step 6

Multiply $2$ by $2$ .

$4$