Evaluate (3i)^5

${(3 i)}^{5}$

Apply the product rule to $3 i$ .

$3^{5} i^{5}$

Raise $3$ to the power of $5$ .

$243 i^{5}$

Factor out $i^{4}$ .

$243 (i^{4} i)$

Rewrite $i^{4}$ as $1$ .

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$243 ({(i^{2})}^{2} i)$

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

$243 ({(- 1)}^{2} i)$

Raise $- 1$ to the power of $2$ .

$243 (1 i)$

$243 (1 i)$

Multiply $i$ by $1$ .

$243 i$

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