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In $35-43,$ write each number in simplest form.$$i^{57}$$

$\hat{2}$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 4

The Complex Numbers

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

Oregon State University

McMaster University

Lectures

01:32

In mathematics, the absolu…

01:11

In $35-43,$ write each num…

01:18

00:53

00:47

In $3-37,$ express each po…

00:19

00:37

00:18

00:23

00:16

Write each fraction in sim…

Okay. Next problem here that they're asking us to reduce is I to the 52 out of the five plus seven I to the seven. So we knew that I to the fourth was one. So out of the fourth time's another I that would be I to the fifth is equal to ay. And so here this side of the fifth just becomes I And then this IDed the seventh, while we know that I to the fourth was one. And then times are I too. We knew I squared right with negative one and then one more eye. Right? So that's 4567 Right? Because you add those exponents when you multiply them together. So we know that this is a one. This is a negative one, and this is I So this is equal to a negative, I So here you get a negative I and so this becomes too I minus a seven I. So that is equal to a negative five. I

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