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Multiplication and Division Properties of Exponents 1001 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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