ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Algebra II Videos 107 videos
ACT Math: Coordinate Geometry Drill 3, Problem 1. What shape is shown by the equation in this video?
ACT Math: Coordinate Geometry Drill 3, Problem 2. What is the slope of a line through the points given?
Equations of circles are a no-brainer. If aliens can do it, so can you. All you do is substitute the center of the circle's coordinates into the eq...
CAHSEE Math 4.3 Number Sense 275 Views
Share It!
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.
Related Videos
CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.
ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?
ACT Math: Pre-Algebra Drill 2, Problem 4. Which of the following numbers is largest?
SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?
We don't like knocking people down to size, but we do like simplifying radicals. Join us?