How to simplify this imaginary expression?

(-6i^4)(2i^3)(-3i^4)

1 Answer
Aug 19, 2017

-36i

Explanation:

We're asked to simplify

-6i^4 * 2i^3 * -3i^4

Let's multiply through the coefficients, and then multiply the complex numbers:

= 36i^(4+3+4)

= 36i^11

Remember that i^2 = -1, so we have

= 36(i^2)(i^2)(i^2)(i^2)(i^2)i

= 36(-1)(-1)(-1)(-1)(-1)i

= color(blue)(ulbar(|stackrel(" ")(" "-36i" ")|)