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  1. #1
    Domestic Domestique UnsafeAlpine's Avatar
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    What the crap (more algebra)

    (8x^-12 y^24/27z^-18)^1/3

    Simplify each expression leaving only positive exponents.

    I don't even know where to start

    can I multiply each exponent by 1/3?

  2. #2
    Hey guyz? Guyz? Wait up!! Siu Blue Wind's Avatar
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    Don't let jschen see this. He'll pull out the math book on you.
    Quote Originally Posted by Buddha
    We are what we think. All that we are arises with our thoughts. With our thoughts, we make the world.
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    Please dont outsmart the censor. That is a very expensive censor and every time one of you guys outsmart it it makes someone at the home office feel bad. We dont wanna do that. So dont cleverly disguise bad words.

  3. #3
    Domestic Domestique UnsafeAlpine's Avatar
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    I'm cool with that...This is just the stuff I'm already supposed to know Haven't had a math class in 14 years and it wasn't this advanced...

  4. #4
    Riding Heaven's Highways on the grand tour ModoVincere's Avatar
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    start out by cubing the expression to get rid of the exponent.
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  5. #5
    Domestic Domestique UnsafeAlpine's Avatar
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    so it would be like this?

    (8x^-12y^24/27z^-28)

    I don't see how you can do that, though.

  6. #6
    Riding Heaven's Highways on the grand tour ModoVincere's Avatar
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    you are trying to establish, what is the cube root of that equation. Calculate the cube root of the top and the bottom separately.
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  7. #7
    Hazardous Taerom's Avatar
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    pssst! The answers are in the back of the book.

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    Just distribute the 1/3 exponent through, and remember what a negative exponent means (and how you make it "positive")

  9. #9
    Hey guyz? Guyz? Wait up!! Siu Blue Wind's Avatar
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    *flicks Taerom in forehead* Shhhhh!!
    Quote Originally Posted by Buddha
    We are what we think. All that we are arises with our thoughts. With our thoughts, we make the world.
    Quote Originally Posted by making View Post
    Please dont outsmart the censor. That is a very expensive censor and every time one of you guys outsmart it it makes someone at the home office feel bad. We dont wanna do that. So dont cleverly disguise bad words.

  10. #10
    Domestic Domestique UnsafeAlpine's Avatar
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    Ok. so the top

    (8x^-12 y^24)^1/3

    (8x^-4 y^8) ?

  11. #11
    Domestic Domestique UnsafeAlpine's Avatar
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    I wish I had a book. this is a worksheet...blargh

  12. #12
    The Improbable Bulk Little Darwin's Avatar
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    Since (x/y)^ 1/3 = (X ^ 1/3) / (y ^ 1/3)

    8x^-12 y^24/27z^-18)^1/3 = [(8x^-12 y^24)^1/3] / [(27z^-18)^1/3]

    It should be pretty straight forward to simplify the numerator and denominator...

    Then figure out how to make the negative exponents positive...
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  13. #13
    The Improbable Bulk Little Darwin's Avatar
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    Quote Originally Posted by UnsafeAlpine View Post
    Ok. so the top

    (8x^-12 y^24)^1/3

    (8x^-4 y^8) ?
    All except you need to do something about that first 8...
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  14. #14
    Riding Heaven's Highways on the grand tour ModoVincere's Avatar
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    cube root of 8 =2
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    Hazardous Taerom's Avatar
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    Quote Originally Posted by Little Darwin View Post
    Then figure out how to make the negative exponents positive...
    zoloft, prozac?

  16. #16
    The Improbable Bulk Little Darwin's Avatar
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    Quote Originally Posted by Taerom View Post
    zoloft, prozac?
    No, that way they just don't care that they're negative...
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  17. #17
    Banned. timmyquest's Avatar
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    I'm possibly getting a job with a local university in which case i get to take classes for free. I think math is my next area of study

  18. #18
    Hey guyz? Guyz? Wait up!! Siu Blue Wind's Avatar
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    Huh?
    Quote Originally Posted by Buddha
    We are what we think. All that we are arises with our thoughts. With our thoughts, we make the world.
    Quote Originally Posted by making View Post
    Please dont outsmart the censor. That is a very expensive censor and every time one of you guys outsmart it it makes someone at the home office feel bad. We dont wanna do that. So dont cleverly disguise bad words.

  19. #19
    Domestic Domestique UnsafeAlpine's Avatar
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    oh yeah, right. all the forms get raised to the power of 1/3. cool so the top is

    (2x^-3 y^8)/(3z^-6)

    So now I need to figure out how to flip the exponent signs. Can I do this?

    (2z^6 y^8)/(3x^3) ?

  20. #20
    The Improbable Bulk Little Darwin's Avatar
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    Indeed you can...

    Since x^-1 = 1/x
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  21. #21
    Domestic Domestique UnsafeAlpine's Avatar
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    WooHoo! that's 2 out of...let me see here...er...20...

  22. #22
    Senior Member bakaster's Avatar
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    What makes these easier is finding the set of (mathematical) tools that you can use for each situation

    So for exponents, a few tools include:

    for any value of a and b

    a^b + a^b = 2*(a^b)

    a^b * a^1 = a^(b+1) which is the same as a^b * a^b = a^2b

    a^-b = 1/(a^b)

    a^(1/2) = the square root of a

    a^(1/3) = the cude root of a

    a^(2/3) = the cube root of a^2

    and so on
    A good ride is one you can walk away from.
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    Learn from the mistakes of others.
    You won’t live long enough to make all of them yourself.

  23. #23
    Senior Member bakaster's Avatar
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    Sorry that there are so many formulas, but i find that if you know how to use the formulas, you can dissect the problem into smaller, easier problems
    A good ride is one you can walk away from.
    A great ride is one where you can still use the bike afterwards.

    Learn from the mistakes of others.
    You won’t live long enough to make all of them yourself.

  24. #24
    Domestic Domestique UnsafeAlpine's Avatar
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    Yeah, Cool thanks...I'll have to write them down (it's easier to see it that way)

  25. #25
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    You seem like such a nice kid from your posts. Why would you want to do this to yourself?

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