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ACT Mathematics Videos 164 videos
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.
ACT Math: Pre-Algebra Drill 1.2. What proportion of Jenna's day is spent Wii-swimming?
ACT Math 4.3 Elementary Algebra 346 Views
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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.
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