ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
CAHSEE Math Videos 210 videos
Statistics, Data, and Probability I: Drill Set 1, Problem 1. What is the mean yearly salary?
Statistics, Data, and Probability I: Drill Set 1, Problem 2. What is the median length of these writing utensils?
CAHSEE Math Statistics, Data, and Probability I: Drill Set 1, Problem 3. The mode of the number of days in each month for a single non-leap year is...
CAHSEE Math 3.3 Algebra and Functions 242 Views
Share It!
Description:
Algebra and Functions: Drill Set 3, Problem 3. What is this expression equal to?
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.
Full Transcript
- 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.
Related Videos
CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.
We don't like knocking people down to size, but we do like simplifying radicals. Join us?
If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...
Okay, so this probably isn't going to help you master Pokemon Go, but game theory can be applied to all sorts of situations. Even stomping your old...