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CAHSEE Math 3.3 Algebra and Functions 242 Views


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Description:

Algebra and Functions: Drill Set 3, Problem 3. What is this expression equal to?

Language:
English Language

Transcript

00:05

And here's your shmoop du jour.

00:07

The expression... the square root of 64 x to the 8th times y to the 4th times z squared...

00:12

is equal to... what?

00:16

And here are the potential answers...

00:17

Before we spoil the ending, hit pause right now and solve it yourself.

00:24

OK, this question is testing our basic ability to root.

00:27

Uh, no, this kind of root. Square kinds.

00:30

And it really tests one thing -- whether we realize that when exponents

00:34

are squared rooted, they are halved.

00:37

That is, the square root of x to the 100th power is x to the 50th power.

00:42

We can rewrite our original equation this way:

00:46

Hopefully we know right off the bat that the square root of 64 is 8.

00:50

And note that immediately we can cross off C and D as choices in the answer set.

00:54

Nice. We've got our chances down to a nice, manageable 50-50 shot here.

00:59

So then we take the square root of x to the 8th and we get x to the 4th...

01:03

y to the 4th becomes y squared and z squared becomes just z.

01:07

And the answer is A. Done. Go team.

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