We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Product Type Videos 3763 videos

ACT Math 1.1 Pre-Algebra
1062 Views

Pre-Algebra Drill 1, Problem 1. Calculate 23 + 53(7 – 4).

ACT Math 1.1 Trigonometry
355 Views

ACT Math: Trigonometry Drill 1, Problem 1. What is the length of y?

ACT Math 1.2 Coordinate Geometry
252 Views

ACT Math: Coordinate Geometry Drill 1, Problem 2. Solve the inequality and determine which solution is shown on the number line.

See All

ACT Math 4.1 Elementary Algebra 266 Views


Share It!


Description:

Elementary Algebra: Drill 4, Problem 1. Simplify the expression.

Language:
English Language

Transcript

00:03

And another Shmoop de jour for you and your.. brain.

00:06

Simplify: a to the 8 and one-half power.

00:10

And here are the potential answers...

00:14

Alright. Do we realize that when we raise an exponent to a power with a fraction...

00:18

...we can simply multiply those numbers together?

00:22

In this case we are raising 'a' to the 8th power, which is then raised to the one-half power.

00:26

So we can do the dirty work first.

00:27

8 times 1/2 equals 4.

00:30

Which means we're left with a to the 4th power...and that's it.

00:33

Answer D.

Related Videos

ACT Math 3.1 Plane Geometry
2562 Views

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

Inequalities in Number Lines
3236 Views

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

ACT Math 3.1 Intermediate Algebra
1956 Views

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

Simplifying Radicals
9745 Views

We don't like knocking people down to size, but we do like simplifying radicals. Join us?

Arithmetic Math
2253 Views

If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...