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Simplifying in Action 462 Views
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Description:
Transcript
- 00:00
And here's your shmoop du jour
- 00:06
Simplify the expression to eight of the fourth times for [Question appears]
- 00:09
a to the negative second And here the potential answers
- 00:13
All right before we spoil the ending hit pause Try
- 00:15
it yourself..... All right Remember order of operations or PEMDAS
Full Transcript
- 00:22
Please excuse my dear aunt sally or princes Exponents
- 00:25
multiplication vision An addition Subtraction Well pen does tells us
- 00:29
to work with the variables inside the parentheses first two
- 00:33
and four a can't get any simpler so we can
- 00:35
move to the explosion We have the quantity to eight
- 00:38
of the fourth which means that we take two to
- 00:40
the fourth here which is sixteen times eight to the
- 00:43
fourth So sixteen a to the forth it is next
- 00:47
We have the quantity four A to the negative second
- 00:50
Don't forget that little negative next to the two in
- 00:52
the exponents it'll hurt you Remember that negative exponents basically
- 00:56
just mean one over We can move the four A into
- 01:00
the denominator and square it which simplifies the fraction as
- 01:03
one over sixteen times a squared When we multiply sixteen
- 01:07
eight of the fourth and one over sixteen a squared
- 01:10
we can cancel out the sixteen over sixteen to be
- 01:12
just one over one or one and cancel the aide
- 01:16
to the fourth over a squared to a squared This
- 01:20
leaves us with a squared or the answer which also
- 01:23
happens to be a now let's Get out of here
- 01:25
before And sally sets his whole place on fire Ah [Aunt sally goes up in flames]