Question

How do you simplify `2i^5(i-7i^15)`?

Answer 1

The value of this expression is `-16`

Explanation:

`2i^5*(i-7i^15)=2i*(i-7i^3)=2i*(i-7i*i^2)=`
`=2i*(i+7i)=2i*8i=16i^2=-16`

In the calculations I used the following properties of imaginary unit:

• `i^2=-1`

• `i^4=1`