Mathematics 10 — Exercise 1.1 · Q1 (vi)

Full question

Simplify the following expression.

Step-by-step solution

1. Read each power from the four-value cycle.

   $$i^4+i^3+i^2+i=1-i-1+i$$

2. The real terms 1 and −1 cancel; the imaginary terms −i and i cancel.

   $$1-i-1+i=0$$

3. Square the resulting zero.

   $$0^2=0$$

Answer

The final answer is shown below.