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Algebra Videos 26 videos

SAT Math 1.5 Algebra and Functions
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SAT Math 1.5 Algebra and Functions. If f (x) = x2 - 16 and g(x) = x4 - 256, what is f of x divided by g of x?

ACT Math 1.5 Intermediate Algebra
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ACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?

ACT Math 2.1 Intermediate Algebra
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ACT Math Intermediate Algebra Drill 2, Problem 1. Solve the equation.

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CAHSEE Math 4.3 Number Sense 187 Views


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Description:

Number Sense: Drill Set 4, Problem 3. Simplify the expression.

Language:
English Language

Transcript

00:03

Here's an unshmoopy question you'll find on an exam somewhere in life...

00:08

What does the expression (16a2)(9ab2) simplify to?

00:15

And here are the potential answers...

00:21

OK, this problem is testing whether we remember that, when we multiply

00:24

variables with exponents, we ADD the exponents.

00:31

But the first thing we do is multiply the 16 and the 9 to get 144.

00:36

Awesome. We can just cross out A and B as potential answers.

00:40

25... pshaw. Who do they think they're dealing with?

00:44

Now we have a 50/50 shot of being right.

00:46

Sort of like Blake Griffin from the free throw line.

00:50

One other math trivia thing we have to know is that "a" is the same as "a" to the first power.

00:57

So when we multiply "a" squared and "a" to the first, we get "a" to the third.

01:05

And well, we're pretty much done because D is the only possible answer here.

01:09

There's no "b" in the first term to multiply. So boom. Done.

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