Algebra Examples

$(i) (6 i) (4 + 6 i)$

Step 1

Multiply $(i) (6 i)$ .

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Step 1.1

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

$6 (i^{1} i) (4 + 6 i)$

Step 1.2

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

$6 (i^{1} i^{1}) (4 + 6 i)$

Step 1.3

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

$6 i^{1 + 1} (4 + 6 i)$

Step 1.4

Add $1$ and $1$ .

$6 i^{2} (4 + 6 i)$

Step 2

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

$6 \cdot - 1 (4 + 6 i)$

Step 3

Multiply $6$ by $- 1$ .

$- 6 (4 + 6 i)$

Step 4

Apply the distributive property.

$- 6 \cdot 4 - 6 (6 i)$

Step 5

Multiply.

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Step 5.1

Multiply $- 6$ by $4$ .

$- 24 - 6 (6 i)$

Step 5.2

Multiply $6$ by $- 6$ .

$- 24 - 36 i$