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Algebra Videos 351 videos

Piecewise Functions
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Don’t even think about starting up your combo lemonade/fro-yo stand without first making sure you understand piecewise functions. You’re just a...

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Domain and range: two terms you will learn to love (or hate with a vengeance). The domain is the set of all possible x values, and range is the set...

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ACT Math 3.5 Elementary Algebra 253 Views


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Description:

ACT Math: Elementary Algebra Drill 3.5. Simplify the expression.

Language:
English Language

Transcript

00:03

Here's your shmoop du jour:

00:05

Simplify: a cubed times b to the fourth over a squared times b squared.

00:09

And here are the potential answers...

00:14

OK. It's about division of exponents: do we realize we can subtract?

00:19

So with a cubed over a squared, we can subtract 3 minus 2 and the a in the denominator just

00:24

goes away.

00:26

So we just have a in the numerator.

00:28

Now let's deal with b.

00:29

b to the 4th can subtract b squared and we have b squared remaining in the numerator.

00:36

So the whole problem simplifies to a times b squared.

00:39

Answer: A.

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