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Math Help - Simplify. Write each as a single power. Do not evaluate.

  1. #1
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    Simplify. Write each as a single power. Do not evaluate.

    Hi guys,

    That is the task: Simplify. Write each as a single power. Do not evaluate.

    1. (3/5)^9 (3/5)^15
    my answer:
    = (3^9/5^9) (3^15/5^15)
    = 3^24/5^24

    Is that the right answer?

    2. (-Q)^2 (-Q)^5 (-Q)
    my answer:
    = (-Q^2) (-Q^5) (-Q)
    = -Q^8

    Is that the right answer?

    3. (-2)^7
    -------
    (-2)^3

    my answer:
    = (-2)^4

    Is that the right answer?
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  2. #2
    Member kalyanram's Avatar
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    Re: Simplify. Write each as a single power. Do not evaluate.

    Your results are correct. But, note that the exercise wants you to express all the results as number raised to single power so you need to further simplify you results.
    Quote Originally Posted by ford2008 View Post
    = 3^24/5^24
    can be written as (\frac{3}{5})^{24}.

    Quote Originally Posted by ford2008 View Post
    = -Q^8
    Is that the right answer?
    can be written as (-1.Q)^8 = (-1)^8 Q^8 = Q^8.

    Repeat the same in the third case a well.

    ~Kalyan
    Thanks from ford2008
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  3. #3
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    Re: Simplify. Write each as a single power. Do not evaluate.

    so the third case would be= (-1.2)^4 = (-1)^4 2^4 = 2^4

    Is that right?
    Last edited by ford2008; September 5th 2012 at 11:51 AM.
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