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Description:
x⁵ = -1. Which of the following is equal to x362?
- Intermediate Algebra and Functions / Expressions, Equations, and Functions Involving Powers, Roots, and Radicals
- Test Prep / TSI
- TSI / TSI Math
- TSI / TSI Mathematics
- Intermediate Algebra and Functions / Expressions, Equations, and Functions Involving Powers, Roots, and Radicals
- TSI Mathematics / Intermediate Algebra and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
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
Full Transcript
- 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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