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Basic Operations Videos 58 videos

Operations with Rational Expressions
8687 Views

It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.

Numbers and Operations: Elementary Number Theory
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Jack and Jill went up the hill to fetch a pail of water. But what happened when they got up there? They’ve been gone an awfully long time…

SAT Math 7.3 Algebra and Functions
318 Views

SAT Math 7.3 Algebra and Functions

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Multiplication and Division Properties of Exponents 1002 Views


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Description:

Exponents desperately want to be like regular ol' numbers—so it figures they also want to be multiplied and divided.

Language:
English Language

Transcript

00:04

Multiplication and Division…

00:06

Properties of Exponents, a la Shmoop.

00:09

When Shelton forged his resume… [Shelton using his laptop]

00:10

… he never imagined his boss would be an alumnus of the “Copy Machine Conservatory.” [Shelton's boss fires him]

00:16

Shelton needs to ace his first copy-making assignment or he’s toast. [Toast version of Shelton pops out a toaster]

00:21

x number of board members are attending the fancy meeting. [Board meeting]

00:24

The boss, never one to make things easy, wants enough handouts for each of the board members

00:29

to the power of five…

00:31

…multiplied by the number of board members to the power of three. [Problem written on a whiteboard]

00:34

Shelton’s sure in a jam. [Toast version of Shelton with jam on]

00:36

Until he remembers that, to multiply exponential variables, you simply need to add the exponents

00:41

together.

00:42

So x to the fifth times x cubed…

00:46

…equals x to the power of five plus three…

00:50

…equals x to the power of eight, piece of cake. [Working written on a whiteboard]

00:54

Just as Shelton delivers the copies…

00:56

…the boss tells him he changed his mind. [Shelton brings the papers to his boss]

00:58

Instead, he wants enough handouts for each board member to the power of four…

01:01

… divided by the number of board members to the power of two.

01:05

This puts Shelton in a pickle. [A pickle lands on top of the toast version of Shelton]

01:08

Until he remembers that, to divide exponential variables, you simply need to subtract the

01:13

exponents.

01:14

So x to the fourth divided by x squared…

01:16

…equals x to the power of four minus 2…

01:19

…equals x squared. [Working written on a whiteboard]

01:22

Whew, looks like Shelton got it right and is going to bring home the bacon. [Girl eating cake]

01:26

Until the Boss asks him to lead the board members in the “Copy Machine Conservatory’s” [Piece of bacon lands on the toast version of Shelton]

01:31

Good Ol’ Happy Badger Fight song. [Someone puts another piece of bread on Shelton to make a sandwich and picks it up]

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