Algebra Examples

$- 7 \sqrt[3]{54 x^{12}}$

Step 1

Rewrite $54 x^{12}$ as ${(3 x^{4})}^{3} \cdot 2$ .

Tap for more steps...

Step 1.1

Factor $27$ out of $54$ .

$- 7 \sqrt[3]{27 (2) x^{12}}$

Step 1.2

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

$- 7 \sqrt[3]{3^{3} \cdot 2 x^{12}}$

Step 1.3

Rewrite $x^{12}$ as ${(x^{4})}^{3}$ .

$- 7 \sqrt[3]{3^{3} \cdot 2 {(x^{4})}^{3}}$

Step 1.4

Move $2$ .

$- 7 \sqrt[3]{3^{3} {(x^{4})}^{3} \cdot 2}$

Step 1.5

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

$- 7 \sqrt[3]{{(3 x^{4})}^{3} \cdot 2}$

Step 2

Pull terms out from under the radical.

$- 7 (3 x^{4} \sqrt[3]{2})$

Step 3

Multiply $3$ by $- 7$ .

$- 21 x^{4} \sqrt[3]{2}$