Question

1.
`(2-5i)(3+7i)-(4+3i)` (imaginary numbers)

2.
`\sqrt[3]{81x^7y^9z^5}`

Answer 1

1. 37 − 4i

2. 3x²y³z ∛(3xz²)

Explanation:

1. Distribute.

(2 − 5i) (3 + 7i) − (4 + 3i)

6 + 14i − 15i − 35i² − 4 − 3i

6 − i + 35 − 4 − 3i

37 − 4i

2. ∛(81x⁷y⁹z⁵)

∛(3⁴x⁷y⁹z⁵)

Factor out highest powers that are multiple of 3.

∛(3³x⁶y⁹z³ · 3xz²)

3x²y³z ∛(3xz²)