Question

Simplify and write answer in terms of i as appropriate. *. i^25

Answer 1

i

Explanation:

Given the complex value i^25, we are to write in terms of i. In complex number:

i² = -1

i^25 =( i²)¹² × i

= (-1)¹² × i

Note that -1 to a negative number will give a positive number hence (-1)¹² = 1

(-1)¹² × i = 1×i

= i

Hence i^25 = i