Algebra Examples

$\sqrt[3]{4 x} \cdot \sqrt[3]{2 x}$

Step 1

Multiply $\sqrt[3]{4 x} \sqrt[3]{2 x}$ .

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Step 1.1

Combine using the product rule for radicals.

$\sqrt[3]{4 x (2 x)}$

Step 1.2

Multiply $2$ by $4$ .

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

Step 1.3

Raise $x$ to the power of $1$ .

$\sqrt[3]{8 (x^{1} x)}$

Step 1.4

Raise $x$ to the power of $1$ .

$\sqrt[3]{8 (x^{1} x^{1})}$

Step 1.5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sqrt[3]{8 x^{1 + 1}}$

Step 1.6

Add $1$ and $1$ .

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

Step 2

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

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

Step 3

Pull terms out from under the radical.

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