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    Just wondering how to simplify ratio:

    10x0.6^n-1 : 15x0.4^n-1

    To get:

    3^n-2 : 2^n-2

    (I'm not sure which way round they go either)

    And can you explain in detail please, because I'm no good with indices thank you
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    (Original post by Yep)
    Just wondering how to simplify ratio:

    10x0.6^n-1 : 15x0.4^n-1

    To get:

    3^n-2 : 2^n-2

    (I'm not sure which way round they go either)

    And can you explain in detail please, because I'm no good with indices thank you
    What are common factors of both?
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    (Original post by ExWunderkind)
    What are common factors of both?
    Erm 5?
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    (Original post by Yep)
    Erm 5?
    Wait sorry, I think I have mistaken the question.

    Is it

    



10x0.6^{n-1}

    or

    



10 \times 0.6^{n-1}
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    (Original post by Yep)
    Just wondering how to simplify ratio:

    10x0.6^n-1 : 15x0.4^n-1

    To get:

    3^n-2 : 2^n-2

    (I'm not sure which way round they go either)

    And can you explain in detail please, because I'm no good with indices thank you
    10*(0.6)^{n-1} : 15*(0.4)^{n-1}

\Rightarrow 10*(6)^{n-1} : 15*(4)^{n-1}

\Rightarrow 10*3^{n-1} : 15*2^{n-1}

    I've started you off, I'm sure you can finish! Use the property of ratios that you can multiply both sides by a number and the ratio will still be conserved. (*=times)
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    (Original post by Yep)
    Erm 5?

    (Original post by Jkn)
    10*(0.6)^{n-1} : 15*(0.4)^{n-1}

\Rightarrow 10*(6)^{n-1} : 15*(4)^{n-1}

\Rightarrow 10*3^{n-1} : 15*2^{n-1}

    I've started you off, I'm sure you can finish! Use the property of ratios that you can multiply both sides by a number and the ratio will still be conserved. (*=times)
    Yeah sorry, I misread the initial question then. Follow Jkn.

    On a side note, why is latex not showing an algebraic x correctly anymore?
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    (Original post by ExWunderkind)
    On a side note, why is latex not showing an algebraic x correctly anymore?
    Eh? x??

    If you mean the "times" symbol, I've never had to use it before :lol:

    Edit: I think it's because you used a decimal point
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    (Original post by Jkn)
    Eh? x??

    If you mean the "times" symbol, I've never had to use it before :lol:

    Edit: I think it's because you used a decimal point
    No the times symbol shows up fine for me:

     2 \times 2 = 4

    However x is showing up weird for me:

     x = 4

    Edit: It showed up weird in my preview, yet worked when I posted. Maybe you're right it was the decimal! Thanks :P
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    (Original post by ExWunderkind)
    No the times symbol shows up fine for me:

     2 \times 2 = 4

    However x is showing up weird for me:

     x = 4

    Edit: It showed up weird in my preview, yet worked when I posted. Maybe you're right it was the decimal! Thanks :P
    No worries
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    (Original post by Jkn)
    10*(0.6)^{n-1} : 15*(0.4)^{n-1}

\Rightarrow 10*(6)^{n-1} : 15*(4)^{n-1}

\Rightarrow 10*3^{n-1} : 15*2^{n-1}

    I've started you off, I'm sure you can finish! Use the property of ratios that you can multiply both sides by a number and the ratio will still be conserved. (*=times)
    It's alright xD I got it in the end, thanks a bunch though
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    (Original post by ExWunderkind)
    No the times symbol shows up fine for me:

     2 \times 2 = 4

    However x is showing up weird for me:

     x = 4

    Edit: It showed up weird in my preview, yet worked when I posted. Maybe you're right it was the decimal! Thanks :P
    Sorry did it, thank you
 
 
 
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