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Z^4= -625 find the solution
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4 votes
Z^4= -625 find the solution

User Mehul Velani
by
8.1k points

1 Answer

1 vote

Answer:

z = 5i

Explanation:

√-1 = i

Step 1: Write equation

z⁴ = -625

Step 2: 4th root both sides

z =
\sqrt[4]{-625}

Step 3: Factor out negative

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

Step 4: Simplify

z = 5i

User Vasu Adari
by
7.9k points
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