are there any practices to this?

http://www.khanacademy.org/math/algebra/polynomials-and-quadratics/e/multiplying_expressions_1

What exactly is a monomial?

A monomial is an expression with one simplified term, like x or 45y. Some other monomials are: 4 (if the monomial contains only one number, without a variable, it is known as a constant) 2xyz 42abcdefghijklmnopqrstuvwxyz These are not monomials: 5x-9, 3x/5, etc. Monomials can't have negative exponents either. (An expression with two terms is called a binomial, and one with three terms is a trinomial)

Can anyone tell me where to start and end on videos that have to do with Algebra II. And if there is more than one place to see the Algebra II topics, please list ALL of them. I'm kind of stuck on topics for the final exam this semester in this class and I can't organize where to watch these videos, so I can fully understand all of Algebra II. I know there is an Algebra I playlist and companion playlists, but I need to know where to get ALL of the Algebra II topics. Thanks for your help!!!

The complete playlist is https://www.khanacademy.org/math/algebra

How do you divide a algebraic expression by a monomial ? Appreciated greatly if answered

Starting with a binomial divided by a monomial (8x^2-4x) / (2x) ; Factor the greatest common factor of the numerator 4x*(2x-1) / (2x) ; Compare the factored numerator to the denominator ; Notice the greatest common factor (between 4x and 2x) is 2x ; We divide one factor of the numerator by the denominator 2*(2x-1) / 1 ; perform some simplifying reductions 4x-2

Can someone explain the b to the fifth power part? I think i got the rest of the video.

Whenever dividing powers, always subtract the powers. 6-1=5, so the answer is 4b to the fifth power

what would happen if you had 18x^4/ x? would it be 18x^3?

Yes, because one x that you factor out of x^4 (x*x^3) and the x in the denominator reduce to 1: 18x^4/x = 18x^3*x/x = 18x^3*1 = 18x^3.

Can this "old" video really teach this concept in 57 seconds? After this video I am more confused than when I had started it...

I understood it fine but probably because I know the properties of fractions and exponents. It's marked old probably because it's short and he didn't explain why or how he did what he did. You probably should find the new version of this concept to watch. But in this video, the properties a/b * c/d = ac/bd and a^m / a^n = a^(m-n) were used.

Main content

Algebra (all content)

Course: Algebra (all content) > Unit 13

Lesson 2: Simplifying rational expressions

Simplifying rational expressions (old video)

Name: Simplifying rational expressions (old video)
Uploaded: 2011-02-20T16:40:59Z
Description: Sal simplifies (28b^6)/(7b) as 4b^5.

CCSS.Math:

HSA.APR.D.6

Google Classroom

Sal simplifies (28b^6)/(7b) as 4b^5. Created by Sal Khan and Monterey Institute for Technology and Education.

Want to join the conversation?

Sort by:

cathy.cx.zhang
Posted 11 years ago. Direct link to cathy.cx.zhang's post “How come there are no '' ...”
How come there are no '' practice this concept'' links @ the top of this page?? just wondering
Button navigates to signup pageButton navigates to signup page
(33 votes)
Answer
Wiebke Janßen
Posted 10 years ago. Direct link to Wiebke Janßen's post “What exactly is a monomia...”
What exactly is a monomial?
Button navigates to signup pageButton navigates to signup page
(11 votes)
Answer
- Justin150
  Posted 10 years ago. Direct link to Justin150's post “A monomial is an expressi...”
  A monomial is an expression with one simplified term, like x or 45y. Some other monomials are:
  4 (if the monomial contains only one number, without a variable, it is known as a constant)
  2xyz
  42abcdefghijklmnopqrstuvwxyz
  
  These are not monomials: 5x-9, 3x/5, etc. Monomials can't have negative exponents either.
  
  (An expression with two terms is called a binomial, and one with three terms is a trinomial)
  Button navigates to signup page
  (3 votes)
mysterychic16
Posted 11 years ago. Direct link to mysterychic16's post “are there any practices t...”
are there any practices to this?
Button navigates to signup pageButton navigates to signup page
(12 votes)
Answer
- Isabel Kaspriskie
  Posted 11 years ago. Direct link to Isabel Kaspriskie's post “http://www.khanacademy.or...”
  http://www.khanacademy.org/math/algebra/polynomials-and-quadratics/e/multiplying_expressions_1
  Button navigates to signup page
  (10 votes)
bossricky8
Posted 11 years ago. Direct link to bossricky8's post “Can anyone tell me where ...”
Can anyone tell me where to start and end on videos that have to do with Algebra II.
And if there is more than one place to see the Algebra II topics, please list ALL of them.
I'm kind of stuck on topics for the final exam this semester in this class and I can't organize where to watch these videos, so I can fully understand all of Algebra II. I know there is an Algebra I playlist and companion playlists, but I need to know where to get ALL of the Algebra II topics.
Thanks for your help!!!
Button navigates to signup pageComment on bossricky8's post “Can anyone tell me where ...”
(9 votes)
Answer
- Wrath Of Academy
  Posted 9 years ago. Direct link to Wrath Of Academy's post “The complete playlist is ...”
  The complete playlist is https://www.khanacademy.org/math/algebra
  Button navigates to signup page
  (3 votes)
babyandflick
Posted 11 years ago. Direct link to babyandflick's post “Can someone explain the b...”
Can someone explain the b to the fifth power part? I think i got the rest of the video.
Button navigates to signup pageComment on babyandflick's post “Can someone explain the b...”
(4 votes)
Answer
- skyrimmaniac11
  Posted 11 years ago. Direct link to skyrimmaniac11's post “Whenever dividing powers,...”
  Whenever dividing powers, always subtract the powers. 6-1=5, so the answer is 4b to the fifth power
  Comment on skyrimmaniac11's post “Whenever dividing powers,...”
  (6 votes)
The Random Person Dancing in the Corner
Posted 9 years ago. Direct link to The Random Person Dancing in the Corner's post “what would happen if you ...”
what would happen if you had 18x^4/ x? would it be 18x^3?
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- Magistra H
  Posted 9 years ago. Direct link to Magistra H's post “Yes, because one x that y...”
  Yes, because one x that you factor out of x^4 (x*x^3) and the x in the denominator reduce to 1: 18x^4/x = 18x^3*x/x = 18x^3*1 = 18x^3.
  Button navigates to signup page
  (10 votes)
Noah Hmam
Posted 11 years ago. Direct link to Noah Hmam's post “How do you divide a algeb...”
How do you divide a algebraic expression by a monomial ?

Appreciated greatly if answered
Button navigates to signup pageComment on Noah Hmam's post “How do you divide a algeb...”
(6 votes)
Answer
- Exponentially Radical
  Posted 9 years ago. Direct link to Exponentially Radical's post “Starting with a binomial ...”
  Starting with a binomial divided by a monomial (8x^2-4x) / (2x) ;
  Factor the greatest common factor of the numerator 4x*(2x-1) / (2x) ;
  Compare the factored numerator to the denominator ;
  Notice the greatest common factor (between 4x and 2x) is 2x ;
  We divide one factor of the numerator by the denominator 2*(2x-1) / 1 ;
  perform some simplifying reductions 4x-2
  Button navigates to signup page
  (2 votes)
uechegwo
Posted 11 years ago. Direct link to uechegwo's post “what if the two whole num...”
what if the two whole numbers are negative
Button navigates to signup pageComment on uechegwo's post “what if the two whole num...”
(4 votes)
Answer
- The Boss
  Posted 9 years ago. Direct link to The Boss's post “A negative number times a...”
  A negative number times a negative number is a positive number.
  Button navigates to signup page
  (1 vote)
InnocentRealist
Posted 7 years ago. Direct link to InnocentRealist's post “What if b=0? It's in the ...”
What if b=0? It's in the denominator, so according to our rules (which I don't agree with) we must state b != 0.
Button navigates to signup pageButton navigates to signup page
(3 votes)
Answer
Quentin Tatro
Posted 7 years ago. Direct link to Quentin Tatro's post “Can this "old" video real...”
Can this "old" video really teach this concept in 57 seconds? After this video I am more confused than when I had started it...
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- Vu
  Posted 7 years ago. Direct link to Vu's post “I understood it fine but ...”
  I understood it fine but probably because I know the properties of fractions and exponents. It's marked old probably because it's short and he didn't explain why or how he did what he did. You probably should find the new version of this concept to watch.
  
  But in this video, the properties a/b * c/d = ac/bd and a^m / a^n = a^(m-n) were used.
  Button navigates to signup page
  (2 votes)

Video transcript

Simplify the expression 28b to the sixth divided by 7b. Well this is the same thing as 28/7 times b to the sixth over b. And I did it this way so that we have b to the sixth over b to some other power. And this is over b, which is the same thing as b to the first. So we could simplify this using exponent properties. And 28/7 we can just clearly simplify because 28 is divisible by 7. 28 divided by 7 is just 4. So that is just 4. And then b to the sixth divided by b to the one, that's just going to be b to the sixth minus 1 power. So times b to the sixth minus 1 or b to the fifth. So our answer is 4b to the fifth.