Question

What is equivalent to this complex numberi^15

Answer 1

Answer:

-i

Explanations:

The given complex number is:

`i^(15)`

Note that:

`i^2\text{ = -1}`

Also note that:

`\begin{gathered} i^(15)=i^(14)* i^(\square) \\ i^(15)=(i^2)^7* i \\ i^(15)=(-1)^7* i \\ i^(15)=\text{ -1 }* i \\ i^(15)=\text{ -i} \end{gathered}`
`\text{The equivalence of i}^(15)=\text{ -i}`