Algebra Examples

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

Step 1

Multiply $\sqrt[3]{3} (2 \sqrt[3]{3})$ .

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Step 1.1

Raise $\sqrt[3]{3}$ to the power of $1$ .

$2 ({\sqrt[3]{3}}^{1} \sqrt[3]{3})$

Step 1.2

Raise $\sqrt[3]{3}$ to the power of $1$ .

$2 ({\sqrt[3]{3}}^{1} {\sqrt[3]{3}}^{1})$

Step 1.3

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

$2 {\sqrt[3]{3}}^{1 + 1}$

Step 1.4

Add $1$ and $1$ .

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

Step 2

Rewrite ${\sqrt[3]{3}}^{2}$ as $\sqrt[3]{3^{2}}$ .

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

Step 3

Raise $3$ to the power of $2$ .

$2 \sqrt[3]{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{9}$

Decimal Form:

$4.16016764 \dots$