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Math Help - Proof Question

  1. #1
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    Proof Question

    Hi there,

    i have been stuck on this problem all day.

    I have to show that the following expression

    t = exp(3x)exp(3y)exp(z+7) / exp(z+x+3y+5)exp(x+2)

    can be written as t = exp(x)

    i have had many solutions obviously none of which are correct, does rules of powers and indices still hold for exponential values?

    Any help would be greatly appreciated

    JP
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  2. #2
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    Quote Originally Posted by jp.101 View Post
    i have had many solutions obviously none of which are correct, does rules of powers and indices still hold for exponential values?
    Yes.

    e^a e^b = e^{a+b}

    \frac{e^a}{e^b} = e^{a-b}
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  3. #3
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    I am still having problems, can someone help me on this?
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  4. #4
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     \begin{aligned} t & = \frac{e^{3x}e^{3y}e^{z+7}}  {e^{z+x+3y+5} \ e^{x+2}} \\  & = \frac{ e^{3x + 3y + z + 7}}{e^{z+2x+3y+7}} \qquad \text{Since: } e^ae^b = e^{a+b} \\ & = e^{x} \qquad \qquad \quad \ \ \text{Since: } \frac{e^a}{e^b} = e^{a-b} \end{aligned}
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