ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Functions Videos 43 videos
SAT Math 2.3 Algebra and Functions. Calculate this function.
ACT Math 4.3 Elementary Algebra 346 Views
Share It!
Description:
ACT Math Elementary Algebra Drill 4, Problem 3. Simplify the expression.
Transcript
- 00:03
And here is your shmoop de jour. Let's just get to it.
- 00:05
For this question, use x = -2, y = -1, and z = 0.
- 00:09
Simplify: quantity xy to the power of z plus x times y to the power of z
- 00:14
And here are the potential answers...
- 00:21
It just wants to make sure we know how to plug in numbers and that we know how the
Full Transcript
- 00:25
parentheses work.
- 00:27
When we plug, we get the quantity negative 2 times negative 1, which is positive 2
- 00:32
and that whole amount is to the z power.
- 00:34
Well, z is 0 and anything to the 0 power is 1.
- 00:38
Now for Part 2.
- 00:39
Thanks to PEMDAS we know that we handle the exponent first. We get y to the z power
- 00:45
which is negative 1 to the 0 power which is 1.
- 00:49
Then we multiply it by x which is negative 2 and we get negative 2. Add that to the
- 00:54
1 we got earlier and we wind up with negative 1.
- 00:57
Answer: B.
Related Videos
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
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...
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...