How to simplify this imaginary expression?

Question

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

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Answer 1 · 2017-08-19T00:00:57

$-36i$

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

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

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

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