Let \(z = \frac{(-11 + 13i)^3 \cdot (24 - 7i)^4}{3 + 4i},\) and let \(w = \frac{\overline{z}}{z}.\) Compute |w|.
+289 We don't even need to know the value of z! Absolutely unnecessary information!
|w|^2 = w(cong(w))
Multiplying the conjugate of w in the second equation by the value of w given in the second equation. This gives us |w|^2 = 1
|w| = 1 as magnitudes are always nonnegative.
