Complex Arithmetic/Examples/((root 3 - i)(root 3 + i)^-1)^4 ((1 + i)(1 - i)^-1)^5

Example of Complex Arithmetic

 * $\paren {\dfrac {\sqrt 3 - i} {\sqrt 3 + i} }^4 \paren {\dfrac {1 + i} {1 - i} }^5 = -\dfrac {\sqrt 3} 2 - \dfrac 1 2 i$