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Math Help - algebra/exponent manipulation help

  1. #1
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    algebra/exponent manipulation help

    How do you make 8(.5^(n-1)) turn into 2^(4-n)?
    Also what would -8(.5^(n-1)) turn into?

    My guess for the first one is to multiply the equation by 2 to get 16x1^(n-1), therefore 16 would be 2^4. Then I get stuck

    While the second one, it would be -2^(4-n)? Please explain to me, thank you.
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  2. #2
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    Quote Originally Posted by maximade View Post
    How do you make 8(.5^(n-1)) turn into 2^(4-n)?
    Also what would -8(.5^(n-1)) turn into?

    My guess for the first one is to multiply the equation by 2 to get 16x1^(n-1), therefore 16 would be 2^4. Then I get stuck

    While the second one, it would be -2^(4-n)? Please explain to me, thank you.
    8\left(\frac{1}{2}\right)^{n - 1} = 2^3\cdot 2^{-(n - 1)}

     = 2^3\cdot 2^{1 - n}

     = 2^{3 + 1 - n}

     = 2^{4 - n}.
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