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Precalculus Videos 6 videos

ACT Math 3.1 Coordinate Geometry
501 Views

ACT Math: Coordinate Geometry Drill 3, Problem 1. What shape is shown by the equation in this video?

ACT Math 4.3 Elementary Algebra
346 Views

ACT Math Elementary Algebra Drill 4, Problem 3. Simplify the expression.

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ACT Math 4.3 Elementary Algebra 346 Views


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Description:

ACT Math Elementary Algebra Drill 4, Problem 3. Simplify the expression.

Language:
English Language

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

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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