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Algebra Videos 26 videos
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 Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?
ACT Math Intermediate Algebra Drill 2, Problem 1. Solve the equation.
CAHSEE Math 4.3 Number Sense 187 Views
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Description:
Number Sense: Drill Set 4, Problem 3. Simplify the expression.
- Algebra / Write expressions in equivalent forms to solve problems
- Number and Quantity / Extend the properties of exponents to rational exponents
- Algebra / Write expressions in equivalent forms to solve problems
- Number and Quantity / Extend the properties of exponents to rational exponents
- Number Sense / Exponent rules
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.
Full Transcript
- 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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