Basic Math Examples

$(4 i) (8 i) (6 - 6 i)$

Step 1

Multiply $(4 i) (8 i)$ .

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Step 1.1

Multiply $8$ by $4$ .

$32 i i (6 - 6 i)$

Step 1.2

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

$32 (i^{1} i) (6 - 6 i)$

Step 1.3

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

$32 (i^{1} i^{1}) (6 - 6 i)$

Step 1.4

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

$32 i^{1 + 1} (6 - 6 i)$

Step 1.5

Add $1$ and $1$ .

$32 i^{2} (6 - 6 i)$

Step 2

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

$32 \cdot - 1 (6 - 6 i)$

Step 3

Multiply $32$ by $- 1$ .

$- 32 (6 - 6 i)$

Step 4

Apply the distributive property.

$- 32 \cdot 6 - 32 (- 6 i)$

Step 5

Multiply.

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Step 5.1

Multiply $- 32$ by $6$ .

$- 192 - 32 (- 6 i)$

Step 5.2

Multiply $- 6$ by $- 32$ .

$- 192 + 192 i$