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In $35-43,$ write each number in simplest form.$$i-5 i^{3}$$

6$i$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 4

The Complex Numbers

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

McMaster University

Baylor University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

01:18

In $35-43,$ write each num…

00:53

00:19

In $3-37,$ express each po…

00:37

00:47

00:23

00:16

Write each fraction in sim…

00:43

Okay. Our next problems here are asking you to put these questions here or these imaginary numbers into their lowest or their most reduced form. And so what we know is is that when we have an I times and I right, we have that's a negative square root of one times of negative square root of one. So that's equal to negative one, right? And then we can use that to deuce, deduce other things. And they went out through a whole thing in the book here, so I'm not gonna do all that. But what you know here is that an I squared is a negative one. So here I have five times a negative one and then plus a two and this eye to the fourth. If I have I squared here. But I have it twice because remember, if I have I squared times I square. That's the same thing is I to the fourth. And so what that means is is that we know that I squared was a negative one. So this is negative one times a negative one, which is one and so this ID the fourth is one so two times a one. So this is negative five plus two, which is equal to negative three

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