Simplify (5i)^3

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

Step 1

Apply the product rule to $5 i$ .

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

Step 2

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

$125 i^{3}$

Step 3

Factor out $i^{2}$ .

$125 (i^{2} \cdot i)$

Step 4

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

$125 (- 1 \cdot i)$

Step 5

Rewrite $- 1 i$ as $- i$ .

$125 (- i)$

Step 6

Multiply $- 1$ by $125$ .

$- 125 i$

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