9514 1404 393
Answer:
≈ 1000√10∠-129.04464° = -1992 -2456i
Step-by-step explanation:
3 -i = √(3³+(-1)²)∠arctan(-1/3) ≈ √10∠-18.4349°
Then (3-i)^7 = 10^(7/2)∠(7×-18.4349°) = 1000√10∠-129.04464°
= 1000√10(cos(-129.04464°) +i·sin(-129.04464°))
= -1992 -2456i
