Simplify (7i)^3

${(7 i)}^{3}$

Step 1

Apply the product rule to $7 i$ .

$7^{3} i^{3}$

Step 2

Raise $7$ to the power of $3$ .

$343 i^{3}$

Step 3

Factor out $i^{2}$ .

$343 (i^{2} \cdot i)$

Step 4

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

$343 (- 1 \cdot i)$

Step 5

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

$343 (- i)$

Step 6

Multiply $- 1$ by $343$ .

$- 343 i$

Related Questions