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Dividing Bases - Visualizing Algebra

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    We have one more pattern to cover with bases and exponents and this involves
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    division. I can think about expanding 3 to the 4th and 3 squared, just like
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    before. We can simplify common factors in the numerator and denominator. They
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    make 1. Because we're working with a fraction made up of factors, we know these
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    make 1. So we're left with 3 times 3, or 3 squared. We can think about expanding
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    these variables as well. We simplify common factors in the numerator and in the
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    denominator, and we're left with f to the 3rd. This last one is just like the
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    others before except we needed to do something additional for the two numbers or
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    coefficients. I know 6 divides into 12 and 6 divides into 18. 6 into 12 is 2,
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    and 6 into 18 is 3. So I have 2 3rds times w to the 5th. I've showed you the
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    expanded form, and the simplification, so that way we could look at the pattern.
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    What's happening as we move from the left side to the right side? What do you
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    notice about the exponents? Let's see if you can answer this with a question.
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    What's a rule for the pattern that you see over here? You can write your answer
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    in this box. And be sure that it includes a base of x, and involves your
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    exponents a and b. What'd you do with them?
Title:
Dividing Bases - Visualizing Algebra
Video Language:
English
Team:
Udacity
Project:
MA006 - Visualizing Algebra
Duration:
01:08
Udacity Robot edited English subtitles for Dividing Bases - Visualizing Algebra
Cogi-Admin added a translation

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