Simplify (5i)^4 - Math solver

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

Apply the product rule to $5 i$ .

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

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

$625 i^{4}$

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

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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 $2$ .

$625 \cdot 1$

Multiply $625$ by $1$ .

$625$

Simplify (5i)^4

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