Basic Math Examples

$(3 i) \cdot (i) \cdot (- 1 - i)$

Step 1

Multiply $(3 i) (i)$ .

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Step 1.1

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

$3 (i^{1} i) \cdot (- 1 - i)$

Step 1.2

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

$3 (i^{1} i^{1}) \cdot (- 1 - i)$

Step 1.3

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

$3 i^{1 + 1} \cdot (- 1 - i)$

Step 1.4

Add $1$ and $1$ .

$3 i^{2} \cdot (- 1 - i)$

Step 2

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

$3 \cdot - 1 \cdot (- 1 - i)$

Step 3

Multiply $3$ by $- 1$ .

$- 3 \cdot (- 1 - i)$

Step 4

Apply the distributive property.

$- 3 \cdot - 1 - 3 (- i)$

Step 5

Multiply.

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Step 5.1

Multiply $- 3$ by $- 1$ .

$3 - 3 (- i)$

Step 5.2

Multiply $- 1$ by $- 3$ .

$3 + 3 i$