ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Playlist Exponents and Radicals 11 videos

0
Simplifying Radicals
9738 Views

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

1
Solving Radical Equations
2159 Views

To solve radical equations, you square both sides, FOIL it out if necessary, and simplify. Ta da!

2
Square Root Expressions
1007 Views

Start within the parentheses, and then work your way out. Do that, and this expression is yours.

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

Inequalities in Number Lines
3227 Views

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

Simplifying Radicals
9738 Views

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

Arithmetic Math
2249 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...

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?

ACT Math 3.1 Intermediate Algebra
1954 Views

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