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