Question

i 15 =



-1

1

-i

i

Answer 1

\(\large\color{black}{i^{15}=i^{12+3}}\)

Answer 2

\(\large\color{black}{i^{4}}\) is = ?
\(\large\color{black}{i^{3}}\) is = ?

when you say \(\large\color{black}{i^{15}}\) you have,

\(\large\color{black}{i^{15}=i^{12+3}}\)
\(\large\color{black}{~~~~~=i^{12}\times i^3}\)
\(\large\color{black}{~~~~~=i^{~4\times 3~}~\times i^3}\)
\(\large\color{black}{~~~~~=(i^{~4})^3~\times i^3}\)

Answer 3

can u help with one more question

Answer 4

you already got this? can you tell me the answer then I want to verify it. If you will.

Answer 5

no i dont

Answer 6

do you know what \(\large\color{black}{i^{4}}\) is equal to?

Answer 7

the answer is 1

Answer 8

\(\large\color{black}{i^{4}}\) is equal to 1. But the answer is not 1.
What is \(\large\color{black}{i^{3}}\) ?

Answer 9

-i

Answer 10

yes, so
(1)^3 * (-i) is basically what you got from the last line..... the answer is?

Answer 11

-i

Answer 12

yes, -i is the answer.

Answer 13

ok thanks