Simplify (-3i^4)^3

${(- 3 i^{4})}^{3}$

Step 1

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

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

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

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

${(- 3 {(- 1)}^{2})}^{3}$

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

${(- 3 \cdot 1)}^{3}$

${(- 3 \cdot 1)}^{3}$

Step 2

Multiply $- 3$ by $1$ .

${(- 3)}^{3}$

Step 3

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

$- 27$

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