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Math Help - Why is this equation true? (rules of exponents, I assume)

  1. #1
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    Why is this equation true? (rules of exponents, I assume)

    2^((n-2)/2) + 2^((n-2)/2) = 2*2^((n/2)-1)=2^n/2

    It has been a while since ive done algebra, but I cant figure out why this is all equal. Can someone help me out here?

    I assume its related to rules of exponents but when I look online its mostly simpler stuff that I cant see relating to this (such as x*x=x^2 etc)
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  2. #2
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    Re: Why is this equation true? (rules of exponents, I assume)

    Quote Originally Posted by NecroWinter View Post
    2^((n-2)/2) + 2^((n-2)/2) = 2*2^((n/2)-1)=2^n/2
    It has been a while since ive done algebra, but I cant figure out why this is all equal. Can someone help me out here?
    I assume its related to rules of exponents but when I look online its mostly simpler stuff that I cant see relating to this (such as x*x=x^2 etc)
    Surely you know that 1+\frac{n-2}{2}=\frac{n}{2}~?
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  3. #3
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    Re: Why is this equation true? (rules of exponents, I assume)

    Quote Originally Posted by Plato View Post
    Surely you know that 1+\frac{n-2}{2}=\frac{n}{2}~?
    I can tell that it is by substituting values for n, but I dont know anything else. Is this something that people tend to have memorized? If so, I may have forgotten, as I have a bad memory.
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  4. #4
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    Re: Why is this equation true? (rules of exponents, I assume)

    common denominator

    \frac{2}{2} + \frac{n-2}{2} = \frac{2 + (n-2)}{2} = ...
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