Simplify (3i)^2

${(3 i)}^{2}$

Step 1

Apply the product rule to $3 i$ .

$3^{2} i^{2}$

Step 2

Raise $3$ to the power of $2$ .

$9 i^{2}$

Step 3

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

$9 \cdot - 1$

Step 4

Multiply $9$ by $- 1$ .

$- 9$

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