How to simplify this imaginary expression?

(-6i^4)(2i^3)(-3i^4)(−6i4)(2i3)(−3i4)

1 Answer
Nathan L.
Aug 19, 2017

-36i−36i

Explanation:

We're asked to simplify

-6i^4 * 2i^3 * -3i^4−6i4⋅2i3⋅−3i4

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

= 36i^(4+3+4)=36i4+3+4

= 36i^11=36i11

Remember that i^2 = -1i2=−1, so we have

= 36(i^2)(i^2)(i^2)(i^2)(i^2)i=36(i2)(i2)(i2)(i2)(i2)i

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

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

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