Question

Simplify i to the 38

Answer 1

`\bf i^4=1\qquad \qquad i^2=-1\\\\ -------------------------------\\\\ i^(38)\implies i^(32+2)\implies i^(32)\cdot i^2\implies i^(4\cdot 8)\cdot i^2\implies (i^4)^8\cdot i^2 \\\\\\ (1)^8\cdot -1\implies -1`