complex numbers - i^4+i^9+i^16/3-2i^8-i^10-i^15

Question

how to expand yhis question?

Answer 1

i^4+i^9+i^16/3-2i^8-i^10-i^15<br />

<br />

((((i^ 4=1 /// i^ 3=-i /// i^ 2 =-1 /// i^ 1=i ))))<br />

<br />

i^ 9=(i^3)(i^ 3)=-i*-i=i^ 2 =i <br />

<br />

i^ 16/3 =((i^ 4)^4)/3=(1^4) /3 =1 /3 <br />

<br />

-2i^8=-2((i^ 4)*(i^ 2))=-2(1*-1) =-2*-1=2 <br />

<br />

-i^ 10=-i^ 2=1<br />

<br />

-i ^15=-i^ 3=i<br />

<br />

&nbsp;<br />

<br />

1+i+(1/3)-2 +1+i=<br />

<br />

(1/3) +2i