Question

Simplify i to the 38

Answer 1

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