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Homework Help: Simplifying expressions

  1. Feb 14, 2010 #1
    I got the following 2 questions in a recent maths test. Can anyone please explain the correct way to simplify these expressions?

    4u to the power of 3 v to the power of 6 / 8u to the power of 2 v to the power of 3

    3x to the power of 6 y to the power of 5 z to the power of 3 / 9x to the power of 4 y to the power of 2 z

    I know that the answers are:
    uv to the power of 3 / 2
    x to the power of 2 y to the power of 3 z to the power of 2 / 3

    ... which were nothing like my answers!
  2. jcsd
  3. Feb 14, 2010 #2


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    Hi Gringo123! :smile:

    erm :redface: … first write it out in maths instead of in English … that alone may help you!

    (and use the X2 tag just above the Reply box :wink:)

    Then show us what you've done, so we'll know how to help! :smile:
  4. Feb 15, 2010 #3


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    I think you mean
    [tex]\frac{4u^3v^6}{8u^2v^3}= \frac{4}{8}\frac{u^3}{u^2}\frac{v^6}{v^3}[/tex]

    cancel in each fraction.

    [tex]\frac{3x^6 y^5z^3}{9x^4y^2z}= \frac{3}{9}\frac{x^6}{x^2}\frac{y^5}{y^2}\frac{z^3}{z}[/tex]

    Again, cancel in each fraction.

    I've done those using "LaTex" but you can also get exponents with [ sup ] and [ /sup ] (without the spaces) x[ sup ]2[ /sup ] gives x2. Or you can indicate exponents with ^: x^2. Oh, and please use parentheses so we can be sure you mean 4(u^3), not (4u^3).
  5. Feb 15, 2010 #4


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    And while 4(u^3)=(4u^3) be sure to use parenthesis to indicate the power is only on u.
    for e.g. 4u^3 is read as 4*u^3 while (4u)^3 is read as 4^3*u^3.
  6. Feb 15, 2010 #5
    Thanks a lot for your help!
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