Question

How do you simplify `(6i)^3`?

Answer 1

`(6i)^3=-216i`

Explanation:

The most important thing to remember for doing any mathematical operations involving complex numbers is to treat `i` as a variable, but `i×i=i^2=-1`.

Hence, `i^3=i^2×i=-1×i=-i` and `i^4=(i^2)^2=(-1)^2=1`.

And `(6i)^3=6^3×i^3`

= `216×(-i)=-216i`