ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Exponential Functions Videos 2 videos

ACT Math 4.3 Elementary Algebra
346 Views

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

See All

ACT Math 4.3 Elementary Algebra 346 Views


Share It!


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.

Related Videos

ACT Math 3.1 Plane Geometry
2558 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Inequalities in Number Lines
3227 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1954 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

Piecewise Functions
6147 Views

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
5378 Views

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...