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← Dividing Bases - Visualizing Algebra

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Showing Revision 2 created 05/25/2016 by Udacity Robot.

  1. We have one more pattern to cover with bases and exponents and this involves
  2. division. I can think about expanding 3 to the 4th and 3 squared, just like
  3. before. We can simplify common factors in the numerator and denominator. They
  4. make 1. Because we're working with a fraction made up of factors, we know these
  5. make 1. So we're left with 3 times 3, or 3 squared. We can think about expanding
  6. these variables as well. We simplify common factors in the numerator and in the
  7. denominator, and we're left with f to the 3rd. This last one is just like the
  8. others before except we needed to do something additional for the two numbers or
  9. coefficients. I know 6 divides into 12 and 6 divides into 18. 6 into 12 is 2,
  10. and 6 into 18 is 3. So I have 2 3rds times w to the 5th. I've showed you the
  11. expanded form, and the simplification, so that way we could look at the pattern.
  12. What's happening as we move from the left side to the right side? What do you
  13. notice about the exponents? Let's see if you can answer this with a question.
  14. What's a rule for the pattern that you see over here? You can write your answer
  15. in this box. And be sure that it includes a base of x, and involves your
  16. exponents a and b. What'd you do with them?