Simplify i37 a I b 1 c 2i d i Calculate 1 i2 a 2i b 2i c 2

Simplify i^37 a. I b. 1 c. 2i d. -i Calculate (-1 + i)^2 a. 2i b. -2i c. 2 d. -2

Solution

6. i³⁷ = i³⁶*i = (i⁴)⁹*i = 1⁹*i=i

Correct option is a.

7. (-1+i)² = (-1)² -2*1*i +(i)² = 1-2i-1=-2i

Correct option is b.