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Math Help - Need Help with These Exponential Equations

  1. #1
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    Need Help with These Exponential Equations

    Hello there!
    I recently enrolled in a high school math course needed to take a college course, but I was always dreadful at math, and this is a correspondence course with minimal student assistance.

    I am having some difficulties, and would like help with two question

    1)

    (3x4*y5*z7)5
    ___________
    (-3x3*yz4)7

    For this question I got
    y18z7
    _____
    9x

    However I think I am wrong. The next question I found even more confusing


    2)

    (xa+b)a-b
    _________

    (xa-2b)a+2b

    for this one I got 1/-4 but again, i think I am very lose
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  2. #2
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    Re: Need Help with These Exponential Equations

    Quote Originally Posted by Reiper View Post
    Hello there!
    I recently enrolled in a high school math course needed to take a college course, but I was always dreadful at math, and this is a correspondence course with minimal student assistance.

    I am having some difficulties, and would like help with two question

    1)

    (3x4*y5*z7)5
    ___________
    (-3x3*yz4)7

    For this question I got
    y18z7
    _____
    9x

    However I think I am wrong. The next question I found even more confusing


    2)

    (xa+b)a-b
    _________

    (xa-2b)a+2b

    for this one I got 1/-4 but again, i think I am very lose
    You are close with the first, just remember that \displaystyle \begin{align*} (-3)^7 = -3^7 \end{align*}, so your answer should be negated.

    I'm afraid you're not even close with the second. You need to use the following: \displaystyle \begin{align*} \left(a^p\right)^q = a^{pq} \end{align*} and \displaystyle \begin{align*} \frac{a^{m}}{a^n} = a^{m - n} \end{align*}
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  3. #3
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    Re: Need Help with These Exponential Equations

    (xa+b)a-b

    so here is what I am not getting, why do you not just multiply the exponents? IE (a+b)(a-b) = (a2-b2)
    and if I do (xa+b) = (xaxb, then where do I go from there with the exponents outside the bracket?

    could someone show me what step 2 and three of this question would look like?
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  4. #4
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    Re: Need Help with These Exponential Equations

    \frac{(x^{a+b})^{a-b}}{(x^{a-2b})^{a+2b}}

    \frac{x^{a^2-b^2}}{x^{a^2-4b^2}}

    x^{(a^2-b^2) - (a^2-4b^2)}

    x^{3b^2}
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