Pre-Algebra Examples

${(- 2 i)}^{12}$

Step 1

Apply the product rule to $- 2 i$ .

${(- 2)}^{12} i^{12}$

Step 2

Raise $- 2$ to the power of $12$ .

$4096 i^{12}$

Step 3

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

$4096 {(i^{4})}^{3}$

Step 4

Rewrite $i^{4}$ as $1$ .

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Step 4.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$4096 {({(i^{2})}^{2})}^{3}$

Step 4.2

Rewrite $i^{2}$ as $- 1$ .

$4096 {({(- 1)}^{2})}^{3}$

Step 4.3

Raise $- 1$ to the power of $2$ .

$4096 \cdot 1^{3}$

$4096 \cdot 1^{3}$

Step 5

One to any power is one.

$4096 \cdot 1$

Step 6

Multiply $4096$ by $1$ .

$4096$

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