Question

Complex numbers~
How would simplify 4i^5

Answer 1

Do you know the rules of i^2, i^3, i^4

Answer 2

Not Quite well

Answer 3

well i=i , i^2 = -1 , i^3 = -i and i^4=1

Answer 4

Knowing that you have 4i^5
then that is the same as (4)(i^4)(i)

Answer 5

now just plug in (4)(1)(i)
that is equal to 4i

Answer 6

(4)(1^4)(4i)

Answer 7

Is that another problem?

Answer 8

lol no, im confused now was 4i the asnwer ?

Answer 9

Correct

Answer 10

ok

Answer 11

4 x 1 = 4
and 4 x i = 4i

Answer 12

\[4\iota ^{5}=4\left( \iota ^{2} \right)^{2}\iota=4\left( -1 \right)^{2}\iota=4\iota \]