What is the value of i^20+1? A. 1 B. –1 C. –i D. i

Question

asked Jul 27, 2020 14.0k views

2 Answers

AkashP · Answer 1 · 2020-08-01T03:29:15+0000

ANSWER

${i}^(20) + 1 =2$

Step-by-step explanation

The given expression is;

${i}^(20) + 1$

Recall that, in complex numbers

${i}^(2) = - 1$

We use this identity to simplify the given expression:

${i}^(20) + 1 =( {i}^(2))^(10) + 1$

This implies that:

${i}^(20) + 1 =( - 1)^(10) + 1$

${i}^(20) + 1 =1+ 1$

${i}^(20) + 1 =2$