Respuesta :

Space

Answer:

z = 5i

Step-by-step explanation:

√-1 = i

Step 1: Write equation

z⁴ = -625

Step 2: 4th root both sides

z = [tex]\sqrt[4]{-625}[/tex]

Step 3: Factor out negative

z = [tex]\sqrt[4]{625}(\sqrt[4]{-1} )[/tex]

Step 4: Simplify

z = 5i

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