Precalculus Examples

$(- 4 i) (- i) (- 7 - 7 i)$

Step 1

Multiply $(- 4 i) (- i)$ .

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Step 1.1

Multiply $- 1$ by $- 4$ .

$4 i i (- 7 - 7 i)$

Step 1.2

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

$4 (i^{1} i) (- 7 - 7 i)$

Step 1.3

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

$4 (i^{1} i^{1}) (- 7 - 7 i)$

Step 1.4

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

$4 i^{1 + 1} (- 7 - 7 i)$

Step 1.5

Add $1$ and $1$ .

$4 i^{2} (- 7 - 7 i)$

Step 2

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

$4 \cdot - 1 (- 7 - 7 i)$

Step 3

Multiply $4$ by $- 1$ .

$- 4 (- 7 - 7 i)$

Step 4

Apply the distributive property.

$- 4 \cdot - 7 - 4 (- 7 i)$

Step 5

Multiply.

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Step 5.1

Multiply $- 4$ by $- 7$ .

$28 - 4 (- 7 i)$

Step 5.2

Multiply $- 7$ by $- 4$ .

$28 + 28 i$