Algebra Examples

$- 2 \sqrt[3]{- 27 b^{4}}$

Step 1

Rewrite $- 27 b^{4}$ as ${(- 3 b)}^{3} b$ .

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Step 1.1

Rewrite $- 27$ as ${(- 3)}^{3}$ .

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

Step 1.2

Factor out $b^{3}$ .

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

Step 1.3

Rewrite ${(- 3)}^{3} b^{3}$ as ${(- 3 b)}^{3}$ .

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

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

Step 2

Pull terms out from under the radical.

$- 2 (- 3 b \sqrt[3]{b})$

Step 3

Multiply $- 3$ by $- 2$ .

$6 b \sqrt[3]{b}$

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