Homework SourseSquareroot 3 i6 64 Squareroot 3 64i 64i 64 64 Squareroot
(- Squareroot 3 + i)^6 -64 Squareroot 3 + 64i 64i 64 - 64 Squareroot 3i -64![(- Squareroot 3 + i)^6 -64 Squareroot 3 + 64i 64i 64 - 64 Squareroot 3i -64Solution(-3 + i)^6 r = sqrt[3 + 1] = 2 = 330 degree z^n = r^n*[cos(n) + i*sin(n)] 2^](/WebImages/14/squareroot-3-i6-64-squareroot-3-64i-64i-64-64-squareroot-1018602-1761526574-0.webp "(- Squareroot 3 + i)^6 -64 Squareroot 3 + 64i 64i 64 - 64 Squareroot 3i -64Solution(-3 + i)^6 r = sqrt[3 + 1] = 2 = 330 degree z^n = r^n*[cos(n) + i*sin(n)] 2^")
Solution
(-3 + i)^6
r = sqrt[3 + 1] = 2
= 330 degree
z^n = r^n*[cos(n) + i*sin(n)]
2^6*[cos(330*6) + i*sin(330*6)]
64*[cos1980 + i*sin1980]
= 64*[cos180 + i*sin180]
= 64*[-1 + 0]
= -64
