Question

Z^4= -625 find the solution

Answer 1

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