How is multiplying 3-2i by i^2 represented on the complex plane?

The equation is represented 3 units to the left of the complex plane and 2 units up.

Explanation:

Well to see how this is represented, we first need to multiply it out so we can see how it looks when it is simplified!

We know that on a complex plane, our imaginary numbers are represented on the vertical axis.

So the original expression, (3-2i) would have been 3 units to the right on a complex graph and 2 units downward!

The equation I input above should be pretty straightforward, but one thing I didn't mention was that i^2 should = -1 when dealing with complex numbers!

Therefore, the equation 3-2i * i^2 is equal to -3 + 2i, this is graphed 3 units to the left and to units upward!

If you notice, this is the exact opposite of the original equation! Why? Well it's because we simply multiplied by negative 1!

triangle and cube

step-by-step explanation: