Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Add $1$ and $3$ .

$\sqrt[3]{3 x^{4}}$

Step 4

Rewrite $3 x^{4}$ as $x^{3} \cdot (3 x)$ .

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Step 4.1

Factor out $x^{3}$ .

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

Step 4.2

Reorder $3$ and $x^{3}$ .

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

Step 4.3

Add parentheses.

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

Step 5

Pull terms out from under the radical.

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