Also can someone help me fill in my i chart that my teacher started...

$\displaystyle i^1 = ?$

$\displaystyle i^2 = -1$

$\displaystyle i^3 = i^2 * i = -i$

$\displaystyle i^4 = i^2 * i^2 = 1$

$\displaystyle i^5 = i^4 * i = i$

$\displaystyle i^6 = i^3 * i^3= ?$

$\displaystyle i^7 = i^4 * i^3= ?$

$\displaystyle i^8 = i^4 * i^4= ?$

$\displaystyle i^9 = i^5 * i^4= ?$

$\displaystyle i^10 = i^5 * i^5= ?$

$\displaystyle i^11 = i^5 * i^6= ?$

$\displaystyle i^12 = i^5 * i^7= ?$

$\displaystyle i^13 = i^5 * i^8= ?$