i to the power -241 solve it with steps - Maths - Complex Numbers and Quadratic Equations

Question

i to the power -241 solve it with steps

Himanshu Pandey · Accepted Answer

i-241
= 1 / i241
= 1 / i4*60 + 1
= 1 / (i4)60 * 1 / i1 [
Multiplication Property ]
= 1 / 160 * 1 / i [ i4 = 1 ]
= 1 / i
= i / i*i [ Rationalization Method ]
= i / (-1) [ i2 = -1 ]
= - i

=> i-241 = - i