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Math Help - simplifying exponents

  1. #1
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    simplifying exponents

    I'm having problems solving for questions 14. I have completed all other algebra questions.
    This is a correspondence course, and unfortunately they have very few examples to follow.
    Help is greatly appreciated.
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  2. #2
    Super Member Quacky's Avatar
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    re: simplifying exponents

    What methods of approximation have you come across? Knowing that 4^3=64 and 5^3=125 should start you off.

    Then, you are expected to use the following laws of indices:

    x^ax^b=x^{a+b}

    \frac{x^a}{x^b}=x^{a-b}

    (x^a)^b=x^{ab}

    Try applying these and see how you go. Post your attempt if you require further assistance.

    Edit: Typo correction.
    Last edited by Quacky; December 21st 2011 at 01:44 PM.
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  3. #3
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    re: simplifying exponents

    7^2 x^8 1/2 y^-2 1/2 z^6 1/2

    7^2 x4^y^-1 z^3

    Like i said i'm having problems with these two questions
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  4. #4
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    Re: simplifying exponents

    (7^2 x^8 y^{-2} z^6)^{1/2} = 7x^4y^{-1}z^3
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  5. #5
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    Re: simplifying exponents

    Thanks for the help. Looks like i just needed to isolate the 7
    As for the next question i don't even know where to start

    Any ideas ?
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  6. #6
    Super Member Quacky's Avatar
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    Re: simplifying exponents

    Reread post #2, and apply it. Post #4 should help. What exactly are you struggling with?
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  7. #7
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    Re: simplifying exponents

    Well first off do i start by multiplying x^3by6 and y^1/3*6
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  8. #8
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    Re: simplifying exponents

    Quote Originally Posted by hotboxdriver View Post
    Well first off do i start by multiplying x^3by6 and y^1/3*6
    are you saying you cannot multiply 3 times 6 or 1/3 times 6 ?

    you need to review an exponent lesson ...

    http://www.purplemath.com/modules/exponent.htm
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  9. #9
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    Re: simplifying exponents

    I'm asking for direction in how to proceed with the steps needed to solve the problem.
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  10. #10
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    Re: simplifying exponents

    Quote Originally Posted by hotboxdriver View Post
    I'm asking for direction in how to proceed with the steps needed to solve the problem.
    go to the link given in post #8
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  11. #11
    Super Member Quacky's Avatar
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    Re: simplifying exponents

    You have been presented with the steps and theory required already. If you lack the ability to comprehend the theory, then you either need some sort of revision session online, or you need to consult a teacher. It seems to me as though you actually want someone to solve the problems for you - I hope the work isn't going to be graded.

    Edit: Corrected a typo.
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