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Math Help - simplifying with exponents

  1. #1
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    simplifying with exponents

    I just cant seem to get it. i know its simple, but i keep geting lost with the exponents, could anyone help?

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    Quote Originally Posted by snypeshow View Post
    I just cant seem to get it. i know its simple, but i keep geting lost with the exponents, could anyone help?

    Use (a^m)^n = a^{mn} and a^m\div a^n = a^{m-n}

    Difference of two squares will also come in handy.
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  3. #3
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    so for the top part, (a-b) = m and (a+b) would be n, so you would get(a-b)(a+b)/x^b^2

    which would give you x^(a^2 - b^2)

    so would the answer be x^a^2 because there would be 2 x^b^2, both in the divisor and divident, so it would cancel it out?
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  4. #4
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    I think I am following what you are saying, not 100% sure it is correct.

    Spoiler:
     <br />
\frac{(x^{(a-b)})^{(a+b)}}{x^{b^2}} = \frac{x^{(a-b)(a+b)}}{x^{b^2}}= \frac{x^{(a^2-b^2)}}{x^{b^2}} = x^{(a^2-b^2)-b^2} = x^{a^2-2b^2}<br />
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  5. #5
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    x^{(a^2-b^2)-b^2}

    why the -b^2 at the end?
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     <br />
a^m\div a^n = a^{m-n}<br />
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  7. #7
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    oh yeah i completely forgot about that, i though they'd just cancel each other out

    thanks alot!!!
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