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Math Help - Need help with exponents: simplifying 3

  1. #1
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    Need help with exponents: simplifying 3

    Ah thanks, I think I get it now. Just a couple more questions:

    x^3 + x^-3 = does this equal x^0?

    And:

    (8a^-3b^6)^1/3 = is this 2a^-1b^2?

    Thank you!!!!! sooo muchhh
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by view360 View Post
    Ah thanks, I think I get it now. Just a couple more questions:

    x^3 + x^-3 = does this equal x^0?
    no, the rule works for products, not sums.

    x^a \cdot x^b = x^{a + b}

    x^a + x^b \ne x^{a + b}

    this is simply

    x^3 + \frac 1{x^3}

    now combine the fractions


    And:

    (8a^-3b^6)^1/3 = is this 2a^-1b^2?

    Thank you!!!!! sooo muchhh
    correct

    EDIT: the princess' \frac {2b^2}a is even nicer if you don't like negative powers.
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  3. #3
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    Quote Originally Posted by view360 View Post
    Ah thanks, I think I get it now. Just a couple more questions:

    x^3 + x^-3 = does this equal x^0?

    And:

    (8a^-3b^6)^1/3 = is this 2a^-1b^2?

    Thank you!!!!! sooo muchhh
    x^3 + x^-3 is not equal to x^0

    x^3 + \frac{1}{x^3}=x^0

    \frac{x^6+1}{x^3} not equal to x^0

    (8a^-3b^6)^1/3 is not equal to 2a^-1b^2?
    \sqrt[3]<br />
{\frac{8b^6}{a^3}}

    \frac{2b^2}{a}
    Last edited by Jhevon; February 3rd 2009 at 07:37 PM. Reason: fixed LaTeX and added quote environment
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