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Math Help - Simplify using the exponent laws. Evaluate where possible.

  1. #1
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    Simplify using the exponent laws. Evaluate where possible.

    Hi guys,

    The Task: Simplify using the exponent laws. Evaluate where possible.

    1. (m^5)^4
    my answer:
    = m^5*4
    = m^20

    Is that the right answer?

    2. (5r^4)^3
    my answer:
    = 5^3 r^12
    = 125r^12

    Is that the right answer?

    3. (-2xy)^2 (3y^3)
    my answer:
    = (-2^2 x^2 y^2) (3y^3)
    = (4x^2) (3y^5)
    = 12x^2 y^5

    Is that the right answer?

    4. (-4n^3)^2
    -------------
    (3n)^5

    my answer:
    = -4^2 n^6
    ------------
    3^5 n^5

    = 16 n^6
    ----------
    243 n^5

    = 16n
    -----
    243

    Is that the right answer?

    5. -(3b^3)^2 (-8b^6)
    -----------------------
    -24b

    my answer:
    -(3^2 b^6) (-8b^6)
    -----------------------
    -24b

    Can somebody help me to simplify from that point? I do not know how to simplify further. Thanks.

    6. (9x^2/y)^2 (y/3x)^3
    my answer:
    (9^2 x^4/y^2) (y^3/3^3 x^3)

    = 81xy/27

    = 9xy/3

    = 3xy

    Is that the right answer?
    Last edited by ford2008; September 5th 2012 at 09:24 AM.
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  2. #2
    Member kalyanram's Avatar
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    Re: Simplify using the exponent laws. Evaluate where possible.

    Correct.
    Thanks from ford2008
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  3. #3
    Junior Member
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    Re: Simplify using the exponent laws. Evaluate where possible.

    HI Kalyan,

    thank you so much for your answers. What is with task number 5. Is that all I can simplify?
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  4. #4
    Member kalyanram's Avatar
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    Re: Simplify using the exponent laws. Evaluate where possible.

    For the fifth task you can simplify further \frac{-(3^2 b^6) (-8b^6)}{-24b}=\frac{(-1)^2.3^2.8. b^{12}}{(-1)3.8b}=-3b^{11}
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