Basic Math Examples

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

Step 1

Apply the product rule to $2 \sqrt[3]{3}$ .

$2^{4} {\sqrt[3]{3}}^{4}$

Step 2

Raise $2$ to the power of $4$ .

$16 {\sqrt[3]{3}}^{4}$

Step 3

Rewrite ${\sqrt[3]{3}}^{4}$ as $\sqrt[3]{3^{4}}$ .

$16 \sqrt[3]{3^{4}}$

Step 4

Raise $3$ to the power of $4$ .

$16 \sqrt[3]{81}$

Step 5

Rewrite $81$ as $3^{3} \cdot 3$ .

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Step 5.1

Factor $27$ out of $81$ .

$16 \sqrt[3]{27 (3)}$

Step 5.2

Rewrite $27$ as $3^{3}$ .

$16 \sqrt[3]{3^{3} \cdot 3}$

$16 \sqrt[3]{3^{3} \cdot 3}$

Step 6

Pull terms out from under the radical.

$16 (3 \sqrt[3]{3})$

Step 7

Multiply $3$ by $16$ .

$48 \sqrt[3]{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$48 \sqrt[3]{3}$

Decimal Form:

$69.22797937 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$