Question

write the following in the form x+iy i⁹+i¹⁰+i¹¹+i¹²​

Answer 1

$\huge\underline\bold\red{★Answer★}$

${i}^{9} + {i}^{10} + {i}^{11} + {i}^{12} \\ = ( {i}^{4} )^{2} .i + ( { {i}^{4} })^{2} . {i}^{2} + ( { {i}^{4} })^{2} . {i}^{3} + ( { {i}^{4}) }^{3} \\ = 1.i + 1. {i}^{2} + 1. {i}^{3} + {1} \\ = i - 1 - {i}+ 1 \\ = 0 \\ = 0 + 0.i$

Answer 2

0 + 0i is the correct answer ✔️

Refer the attachment