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Simplifying in Action 462 Views


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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

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]