Basic Math Examples

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

Step 1

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

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Step 1.1

Multiply $4$ by $5$ .

$20 i i (- 4 + 7 i)$

Step 1.2

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

$20 (i^{1} i) (- 4 + 7 i)$

Step 1.3

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

$20 (i^{1} i^{1}) (- 4 + 7 i)$

Step 1.4

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

$20 i^{1 + 1} (- 4 + 7 i)$

Step 1.5

Add $1$ and $1$ .

$20 i^{2} (- 4 + 7 i)$

Step 2

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

$20 \cdot - 1 (- 4 + 7 i)$

Step 3

Multiply $20$ by $- 1$ .

$- 20 (- 4 + 7 i)$

Step 4

Apply the distributive property.

$- 20 \cdot - 4 - 20 (7 i)$

Step 5

Multiply.

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Step 5.1

Multiply $- 20$ by $- 4$ .

$80 - 20 (7 i)$

Step 5.2

Multiply $7$ by $- 20$ .

$80 - 140 i$