Simplify (5i)^4

${(5 i)}^{4}$

Step 1

Apply the product rule to $5 i$ .

$5^{4} i^{4}$

Step 2

Raise $5$ to the power of $4$ .

$625 i^{4}$

Step 3

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

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

$625 {(i^{2})}^{2}$

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

$625 {(- 1)}^{2}$

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

$625 \cdot 1$

$625 \cdot 1$

Step 4

Multiply $625$ by $1$ .

$625$

Related Questions