Basic Math Examples

$(- 4 i) (5 i) (- 7 - 7 i)$

Step 1

Multiply $(- 4 i) (5 i)$ .

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Step 1.1

Multiply $5$ by $- 4$ .

$- 20 i i (- 7 - 7 i)$

Step 1.2

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

$- 20 (i^{1} i) (- 7 - 7 i)$

Step 1.3

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

$- 20 (i^{1} i^{1}) (- 7 - 7 i)$

Step 1.4

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

$- 20 i^{1 + 1} (- 7 - 7 i)$

Step 1.5

Add $1$ and $1$ .

$- 20 i^{2} (- 7 - 7 i)$

Step 2

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

$- 20 \cdot - 1 (- 7 - 7 i)$

Step 3

Multiply $- 20$ by $- 1$ .

$20 (- 7 - 7 i)$

Step 4

Apply the distributive property.

$20 \cdot - 7 + 20 (- 7 i)$

Step 5

Multiply.

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Step 5.1

Multiply $20$ by $- 7$ .

$- 140 + 20 (- 7 i)$

Step 5.2

Multiply $- 7$ by $20$ .

$- 140 - 140 i$