Algebra Examples

$(3 i) (- 2 i) (5 i)$

Step 1

Multiply $(3 i) (- 2 i)$ .

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Step 1.1

Multiply $- 2$ by $3$ .

$- 6 i i (5 i)$

Step 1.2

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

$- 6 (i^{1} i) (5 i)$

Step 1.3

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

$- 6 (i^{1} i^{1}) (5 i)$

Step 1.4

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

$- 6 i^{1 + 1} (5 i)$

Step 1.5

Add $1$ and $1$ .

$- 6 i^{2} (5 i)$

Step 2

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

$- 6 \cdot - 1 (5 i)$

Step 3

Multiply $- 6$ by $- 1$ .

$6 (5 i)$

Step 4

Multiply $5$ by $6$ .

$30 i$