ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Powers, Roots, and Radicals Videos 14 videos

Powers
2653 Views

Numbers have friends in high places: they're called powers. And yes, they are powerful. They can make a single digit number turn into a 10 digit nu...

Multiplication and Division Properties of Exponents
1001 Views

Exponents desperately want to be like regular ol' numbers—so it figures they also want to be multiplied and divided.

Introduction to Roots
4521 Views

Get back to your roots with this video.

See All

TSI Math: Understanding Exponent Rules 13 Views


Share It!


Description:

x⁵ = -1. Which of the following is equal to x362?


Transcript

00:01

Okay here we go here's The question Exit The fifth

00:04

equals negative one Which of the following is equal to

00:07

x to the three hundred sixty second If x to

00:14

the fifth is negative one the only possible value for

00:18

x is negative one right Because you're multiplying an odd

00:21

number of times we got negative one than time thing

00:24

One would be positive one times that negative want to

00:26

be the third But you did it the fifth time

00:27

so it's negative one Well in that case x to

00:30

the three sixty second that's negative one to the three

00:34

sixty seconds it has to be equal to one and

00:37

even power of a negative number is positive in any

00:40

power of negative One is either negative one or positive

00:43

one got it So if you didn't know the fact

00:46

that it's an even number to the power of thingy

00:49

there makes it and even number well you could have

00:51

just looked at the x to the fifth thing and

00:53

x to the fourth was a positive number and exit

00:56

The fifth was thinking about to six positive Just kind

00:58

of derived it that way okay that's it We're done 00:01:02.071 --> [endTime] fish

Related Videos

TSI Writing: Revising a Letter by Adding Transitions
145 Views

Which is the best way to revise and combine sentences 1 and 2?

TSI Writing: Adding a New Sentence to Improve a Letter's Structure
25 Views

Where would the following sentence best be placed?

TSI Writing: Choosing the Best Introductory Transition
18 Views

Which of the following is best to insert at the beginning of sentence 8?

TSI Writing: Shifting a Letter's Structure to Improve the Organzational Flow
8 Views

Which is the best location for sentence 9?

TSI Writing: Choosing the Most Effective Sentence Structure
15 Views

Which of the following sentences is best to insert between sentences 11 and 12?