Algebra Examples

$4 i (- 2 - 8 i)$

Step 1

Apply the distributive property.

$4 i \cdot - 2 + 4 i (- 8 i)$

Step 2

Multiply $- 2$ by $4$ .

$- 8 i + 4 i (- 8 i)$

Step 3

Multiply $4 i (- 8 i)$ .

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Step 3.1

Multiply $- 8$ by $4$ .

$- 8 i - 32 i i$

Step 3.2

Raise $i$ to the power of $1$ .

$- 8 i - 32 (i^{1} i)$

Step 3.3

Raise $i$ to the power of $1$ .

$- 8 i - 32 (i^{1} i^{1})$

Step 3.4

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

$- 8 i - 32 i^{1 + 1}$

Step 3.5

Add $1$ and $1$ .

$- 8 i - 32 i^{2}$

Step 4

Simplify each term.

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Step 4.1

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

$- 8 i - 32 \cdot - 1$

Step 4.2

Multiply $- 32$ by $- 1$ .

$- 8 i + 32$

Step 5

Reorder $- 8 i$ and $32$ .

$32 - 8 i$