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TSI Math: Understanding Exponent Rules 11 Views


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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

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